matlab4engineers.com

Views: 4940
MATLAB For Engineers

In this video, I introduce the basic functions in Mathematica that deal with vectors:
Dot product, cross product, multiplication and addition.
You need to view it in high definition and full screen to be able to see the details.
Part of: Introduction to Continuum Mechanics by Dr. Samer Adeeb. University of Alberta, Edmonton, Alberta
The lectures are based on the ebook:
http://www.kendallhunt.com/author.aspx?id=24239

Views: 5470
Samer Adeeb

Vector product, how to determine direction of cross product using Right Hand Rule & Why vector product is defined the way it is defined

Views: 106010
The Lighthouse

Namaste to all Friends,
This Video Lecture Series presented By VEDAM Institute of Mathematics is Useful to all students of Class 11th & 12th of CBSE, ICSE, MP Board and other boards of India.
we have try to providing quality content without any charge.
our Aim is to provide Basic Fundamental concept of maths to all those students who willing to learn it and have no fees to pay coaching Institutes.
our Video Lecture are Useful for IITJEE, NDA, Engineering Entrance Exam, Board Exams etc.
You can ask your maths problems through our facbook page "VEDAM Institute of Mathematics, Bhopal " .
For detail of Institute's Courses, Please visit on :www.vedaminstitute.in
Important Links:
School Maths video for Class 11th & 12th:
https://www.youtube.com/my_videos?o=U
Competitive Maths Videos:
https://www.youtube.com/my_videos?o=U
Engineering Maths Videos & Engineering Geology Video:
https://www.youtube.com/my_videos?o=U
All the best...
Vande Matram

Views: 14265
Jaipal Vishwakarma

The cross product of vectors has important applications in physics and mathematics. This video shows how you to calculate the volume of a parallelepiped and to calculate torque using the cross product.This video is part of a mini course on vectors for students of the TU Delft following mechanics courses.

Views: 2578
Vectors mini course

In this video, we will introduce the concept of duality, involving a multiplication by the pseudoscalar. We will observe the geometric meaning of duality and also see that the cross product and wedge product are dual to one another, which means that the cross product is already contained within geometric algebra when working in three dimensions. It should also be clear, once we reflect upon duality, why it only makes sense to speak of a cross product in three dimensions. We will finally go through a number of applications of duality such as the equivalence of rotating about an axis and through a plane in G(3), the quaternionic product, the vector-bivector product, the scalar triple product, and the vector triple product.
Geometric Algebra playlist: https://www.youtube.com/playlist?list=PLpzmRsG7u_gqaTo_vEseQ7U8KFvtiJY4K
References / Further Reading:
1. Lasenby and Doran's "Geometric Algebra for Physicists". https://www.amazon.com/Geometric-Algebra-Physicists-Chris-Doran/dp/0521715954
2. "A Survey of Geometric Algebra and Geometric Calculus" by Alan Macdonald: http://www.faculty.luther.edu/~macdonal/GA&GC.pdf
3. "Synopsis of Geometric Algebra" and "Geometric Calculus" by David Hestenes: http://geocalc.clas.asu.edu/html/NFMP.html
Music:
J.S. Bach's Concerto for Two Violins in D minor, 1st Mov.

Views: 1319
Mathoma

This video is a tutorial for how to find dot (scalar) or cross (vector) product of two complex numbers. Some applications are also cited for better understanding of the viewers.

Views: 5191
Brahmastra Education Center

Vector Cross Product - Example 1. The cross product of two vectors finds a vector that is orthogonal (perpendicular, normal, 90 degree angle) to the other two vectors. Not much theory in this video, just working through the algebra.
Help us caption & translate this video!
http://amara.org/v/DTJM/ Subscribe on YouTube: http://bit.ly/1bB9ILD
Leave some love on RateMyProfessor: http://bit.ly/1dUTHTw
Send us a comment/like on Facebook: http://on.fb.me/1eWN4Fn

Views: 6539
Firefly Lectures

Let's prove using code that vector dot product provides a cosine.

Views: 430
Jamie King

Basic vector understanding of cross products. I show how a 3 dimensional vector and how its cross product can be determined.

Views: 158
Jose Navarro

step by step NCERT solutions for Class 12 Maths Chapter 10 - Vector Algebra. All exercise questions are solved & explained , easy tricks used, please like share and subscribe for more....cbsemaths videos....

Views: 1872
Bhaskar sir

LECTURE 08
Here the concept of rigid body kinematics is introduced. The constant nature of the relative position vector within a body experiencing pure translation is shown, and it is asserted that kinematic analysis of bodies experiencing pure translation is identical to the analysis of particles undertaken previously in the course. General plane motion is then described as a combination of pure translation and pure rotation. Pure rotation (i.e. fixed-axis rotation) is then highlighted and equations relating angular velocities and accelerations to linear velocities and accelerations are presented. It is pointed out that the calculus-based relationships between angular displacement, velocity, and acceleration mirror their translational counterparts. The vector method of relating angular velocities and accelerations to instantaneous linear velocities and accelerations is also introduced. An example problem is presented wherein a rectangular prism is mounted to two ball joints defining a relatively simple-to-visualize axis of rotation. Angular velocity and acceleration are given for the body, and instantaneous linear velocity and acceleration are found for vertices of the rectangular prism. Assuming the acceleration value given is constant and the angular velocity value is an initial value, the angular velocity and displacement are found after a given elapsed time of motion. The angular displacement is used to determine the total distance traveled by one of the vertices of the prism. Lastly, the location of one of the ball joints is changed and the vector method is used to determine the instantaneous linear velocity and acceleration of one of the vertices of the prism. The Casio fx-115es plus is used to perform the necessary cross-products to find these vectors.
This lecture was recorded on June 26, 2018. All retainable rights are claimed by Michael Swanbom.
Please subscribe to my YouTube channel and follow me on Twitter: @TheBom_PE
Thank you for your support!

Views: 88
TheBom_PE

The vector cross-product is another form of vector multiplication and results in another vector.
In this tutorial I show you a simple way of calculating the cross product of two vectors.

Views: 14
Juan Klopper

Basic Computation of the cross product.

Views: 462
Jason Rose

mathematics for first semester diploma students

Views: 11468
dte edusat

In this lesson we discuss where the dot product comes from, how to calculate the dot product, given the length/maginitude of 2 vectors and the angle between them.

Views: 192
Magic Monk

Geometric Algebra (GA) is proposed as the culminating step in the development of a universal mathematical language for all of physics. When first encountering such a bold claim (cf. http://geocalc.clas.asu.edu/html/Evolution.html and http://geometry.mrao.cam.ac.uk/2000/01/a-unified-mathematical-language-for-physics-and-engineering-in-the-21st-century/) I was skeptical, and found that the only way to dispel that skepticism was to actually learn GA. It is a deeply satisfying experience to see a babble of mathematical formalisms, designed for diverse physical applications, all be subsumed and seamlessly integrated into one unified system. Witnessing this variety of specialized mathematical tools and "tricks that get the job done" suddenly acquire intuitive and edifying geometric meanings, is a delight I naturally want to share with any who are interested. And that provides the motivation leading me to create these videos.
Lesson 1, From Vectors to Multivectors (FV2M), is split into three parts. Links to the other two parts, as well as other videos in this series (as they are posted), can be found near the bottom of this video description. This foundational video of our GA tutorial series demonstrates how a vector space (given a non-degenerate scalar product) may be extended into a multivector system called the geometric algebra of that vector space.
Prerequisites: An introduction video for this GA tutorial series is being developed with a wider audience in mind, but this FV2M video is intended for viewers who are already familiar with basic vector algebra, including geometric understanding of operations like vector addition, multiplication by scalars, as well as the dot and cross products. For example, it will be assumed that viewers are familiar with material similar to what is covered in this Khan Academy video "Dot and cross product comparison/intuition" [https://www.youtube.com/watch?v=tdwFdzVqito]. Knowledge about vector space dimension and basis would be helpful as well.
--Some GA introductory papers (pdf links)--
A unified mathematical language for physics and engineering in the 21st century (Joan Lasenby, Anthony Lasenby, & Chris Doran, )
http://geometry.mrao.cam.ac.uk/wp-content/uploads/2015/02/00RSocMillen.pdf
Imaginary Numbers Are Not Real - the Geometric Algebra of Spacetime (Stephen Gull, Anthony Lasenby, & Chris Doran)
http://geometry.mrao.cam.ac.uk/wp-content/uploads/2015/02/ImagNumbersArentReal.pdf
Oersted Medal Lecture 2002: Reforming the Mathematical Language of Physics (David Hestenes)
http://geocalc.clas.asu.edu/pdf/OerstedMedalLecture.pdf
Introduction to Clifford's Geometric Algebra (Eckhard Hitzer)
http://erkenntnis.icu.ac.jp/gcj/publications/SICEJintro/SICEJintro.pdf
A Survey of Geometric Algebra & Geometric Calculus (Alan MacDonald)
http://faculty.luther.edu/%7Emacdonal/GA&GC.pdf
Geometric Algebra (Eric Chisolm)
http://arxiv.org/pdf/1205.5935v1.pdf
--Other videos in this GA tutorial series--
00 GA tutorial Intro & Overview
[UnderConstruction]
01 From Vectors to Multivectors
Part 1: https://youtu.be/P-IKemH3jsg
Part 2: https://youtu.be/FUivWb4k_bE
Part 3: https://youtu.be/b0K451IxLBQ
02 Geometric Product of Vectors (redux)
[UnderConstruction]
03 Grades and Blades
[UnderConstruction]
04 Q&A #01
[UnderConstruction]
.
.
.
*Note: I'm very busy right now wrapping up my PhD dissertation (which does involve multivector analysis), and I do not have much time to work on these videos, so I cannot predict when the future videos planned for this series will be completed. Subscribing to my youtube channel will help keep you aware of any new videos I post. In the mean time, here are some other GA related youtube videos I recommend.
Mathoma's "Geometric Algebra" playlist is a really good (undergraduate friendly) first introduction to GA:
https://www.youtube.com/playlist?list=PLpzmRsG7u_gqaTo_vEseQ7U8KFvtiJY4K
"The Vector Algebra War" (J. Chappell, A. Iqbal, J. Hartnett, D. Abbott)
https://www.youtube.com/watch?v=_AaOFCl2ihc
"Tutorial on Clifford's Geometric Algebra" (E. Hitzer)
https://www.youtube.com/watch?v=sHjXccDAIzw&list=PL8mAte7RusZp7_-TnLdizhTpWfKdWuYzr
Alan Macdonald's "Geometric Calculus" tutorial:
https://www.youtube.com/playlist?list=PLLvlxwbzkr7i6DlChcYEL7nJ8R9ZuV8JA
***Last updated: 10 October 2016***

Views: 4890
Nick Okamoto

Geometric Algebra (GA) is proposed as the culminating step in the development of a universal mathematical language for all of physics. When first encountering such a bold claim (cf. http://geocalc.clas.asu.edu/html/Evolution.html and http://geometry.mrao.cam.ac.uk/2000/01/a-unified-mathematical-language-for-physics-and-engineering-in-the-21st-century/) I was skeptical, and found that the only way to dispel that skepticism was to actually learn GA. It is a deeply satisfying experience to see a babble of mathematical formalisms, designed for diverse physical applications, all be subsumed and seamlessly integrated into one unified system. Witnessing this variety of specialized mathematical tools and "tricks that get the job done" suddenly acquire intuitive and edifying geometric meanings, is a delight I naturally want to share with any who are interested. And that provides the motivation leading me to create these videos.
Lesson 1, From Vectors to Multivectors (FV2M), is split into three parts. Links to the other two parts, as well as other videos in this series (as they are posted), can be found near the bottom of this video description. This foundational video of our GA tutorial series demonstrates how a vector space (given a non-degenerate scalar product) may be extended into a multivector system called the geometric algebra of that vector space.
Prerequisites: An introduction video for this GA tutorial series is being developed with a wider audience in mind, but this FV2M video is intended for viewers who are already familiar with basic vector algebra, including geometric understanding of operations like vector addition, multiplication by scalars, as well as the dot and cross products. For example, it will be assumed that viewers are familiar with material similar to what is covered in this Khan Academy video "Dot and cross product comparison/intuition" [https://www.youtube.com/watch?v=tdwFdzVqito]. Knowledge about vector space dimension and basis would be helpful as well.
--Some GA introductory papers (pdf links)--
A unified mathematical language for physics and engineering in the 21st century (Joan Lasenby, Anthony Lasenby, & Chris Doran, )
http://geometry.mrao.cam.ac.uk/wp-content/uploads/2015/02/00RSocMillen.pdf
Imaginary Numbers Are Not Real - the Geometric Algebra of Spacetime (Stephen Gull, Anthony Lasenby, & Chris Doran)
http://geometry.mrao.cam.ac.uk/wp-content/uploads/2015/02/ImagNumbersArentReal.pdf
Oersted Medal Lecture 2002: Reforming the Mathematical Language of Physics (David Hestenes)
http://geocalc.clas.asu.edu/pdf/OerstedMedalLecture.pdf
Introduction to Clifford's Geometric Algebra (Eckhard Hitzer)
http://erkenntnis.icu.ac.jp/gcj/publications/SICEJintro/SICEJintro.pdf
A Survey of Geometric Algebra & Geometric Calculus (Alan MacDonald)
http://faculty.luther.edu/%7Emacdonal/GA&GC.pdf
Geometric Algebra (Eric Chisolm)
http://arxiv.org/pdf/1205.5935v1.pdf
--Other videos in this GA tutorial series--
00 GA tutorial Intro & Overview
[UnderConstruction]
01 From Vectors to Multivectors
Part 1: https://youtu.be/P-IKemH3jsg
Part 2: https://youtu.be/FUivWb4k_bE
Part 3: https://youtu.be/b0K451IxLBQ
02 Geometric Product of Vectors (redux)
[UnderConstruction]
03 Grades and Blades
[UnderConstruction]
04 Q&A #01
[UnderConstruction]
.
.
.
*Note: I'm very busy right now wrapping up my PhD dissertation (which does involve multivector analysis), and I do not have much time to work on these videos, so I cannot predict when the future videos planned for this series will be completed. Subscribing to my youtube channel will help keep you aware of any new videos I post. In the mean time, here are some other GA related youtube videos I recommend.
Mathoma's "Geometric Algebra" playlist is a really good (undergraduate friendly) first introduction to GA:
https://www.youtube.com/playlist?list=PLpzmRsG7u_gqaTo_vEseQ7U8KFvtiJY4K
"The Vector Algebra War" (J. Chappell, A. Iqbal, J. Hartnett, D. Abbott)
https://www.youtube.com/watch?v=_AaOFCl2ihc
"Tutorial on Clifford's Geometric Algebra" (E. Hitzer)
https://www.youtube.com/watch?v=sHjXccDAIzw&list=PL8mAte7RusZp7_-TnLdizhTpWfKdWuYzr
Alan Macdonald's "Geometric Calculus" tutorial:
https://www.youtube.com/playlist?list=PLLvlxwbzkr7i6DlChcYEL7nJ8R9ZuV8JA
***Last updated: 10 October 2016***

Views: 2056
Nick Okamoto

Geometric (Clifford) Algebra introduction, showing the relation between the vector product dot and wedge products, and the cross product.

Views: 643
Peeter Joot

After having set up G(3), let's now investigate a particular geometric product, namely, the product between vector and bivector. We'll see that such a product in general splits into a vector part and the trivector part. Similar to the geometric product between vectors, we'll call the lower-graded vector part the dot product between vector and bivector and we'll call the higher-graded trivector part the wedge product. In this video, we'll motivate these definitions and save the algebraic exploration and geometric meaning for the second part.
References / Further Reading:
1. Lasenby and Doran's "Geometric Algebra for Physicists".
2. Recommended video on Clifford algebra:
https://www.youtube.com/watch?v=rqadK8-dN-Y
3. And other video series covering Geometric Algebra (Nick Okamoto): https://www.youtube.com/watch?v=P-IKemH3jsg&list=PLQ6JJNfj9jD_H3kUopCXkvvGoZqzYOzsV

Views: 3141
Mathoma

There are a wide variety of different vector formalisms
currently utilized in engineering and physics. For example, Gibbs’ three-vectors, Minkowski four-vectors, complex spinors in quantum mechanics, quaternions used to describe rigid body rotations and vectors defined in Clifford geometric algebra. With such a range of vector formalisms in use, it thus appears that there is as yet no general agreement on a vector formalism suitable for science as a whole. This is surprising, in that, one of the primary goals of nineteenth century science was to suitably describe vectors in three-dimensional space. This situation has also had the unfortunate consequence of fragmenting knowledge across many disciplines, and requiring a significant amount of time and effort in learning the various formalisms. We thus historically review the development of our various vector systems and conclude that Clifford’s multivectors best fulfills the goal of describing vectorial quantities in three dimensions and providing a unified vector system for science.

Views: 10476
UniAdel

v is a vector.
Contributed by: S. M. Blinder and Amy Blinder

Views: 277
wolframmathematica

Geometric Algebra (GA) is proposed as the culminating step in the development of a universal mathematical language for all of physics. When first encountering such a bold claim (cf. http://geocalc.clas.asu.edu/html/Evolution.html and http://geometry.mrao.cam.ac.uk/2000/01/a-unified-mathematical-language-for-physics-and-engineering-in-the-21st-century/) I was skeptical, and found that the only way to dispel that skepticism was to actually learn GA. It is a deeply satisfying experience to see a babble of mathematical formalisms, designed for diverse physical applications, all be subsumed and seamlessly integrated into one unified system. Witnessing this variety of specialized mathematical tools and "tricks that get the job done" suddenly acquire intuitive and edifying geometric meanings, is a delight I naturally want to share with any who are interested. And that provides the motivation leading me to create these videos.
Lesson 1, From Vectors to Multivectors (FV2M), is split into three parts. Links to the other two parts, as well as other videos in this series (as they are posted), can be found near the bottom of this video description. This foundational video of our GA tutorial series demonstrates how a vector space (given a non-degenerate scalar product) may be extended into a multivector system called the geometric algebra of that vector space.
Prerequisites: An introduction video for this GA tutorial series is being developed with a wider audience in mind, but this FV2M video is intended for viewers who are already familiar with basic vector algebra, including geometric understanding of operations like vector addition, multiplication by scalars, as well as the dot and cross products. For example, it will be assumed that viewers are familiar with material similar to what is covered in this Khan Academy video "Dot and cross product comparison/intuition" [https://www.youtube.com/watch?v=tdwFdzVqito]. Knowledge about vector space dimension and basis would be helpful as well.
--Some GA introductory papers (pdf links)--
A unified mathematical language for physics and engineering in the 21st century (Joan Lasenby, Anthony Lasenby, & Chris Doran, )
http://geometry.mrao.cam.ac.uk/wp-content/uploads/2015/02/00RSocMillen.pdf
Imaginary Numbers Are Not Real - the Geometric Algebra of Spacetime (Stephen Gull, Anthony Lasenby, & Chris Doran)
http://geometry.mrao.cam.ac.uk/wp-content/uploads/2015/02/ImagNumbersArentReal.pdf
Oersted Medal Lecture 2002: Reforming the Mathematical Language of Physics (David Hestenes)
http://geocalc.clas.asu.edu/pdf/OerstedMedalLecture.pdf
Introduction to Clifford's Geometric Algebra (Eckhard Hitzer)
http://erkenntnis.icu.ac.jp/gcj/publications/SICEJintro/SICEJintro.pdf
A Survey of Geometric Algebra & Geometric Calculus (Alan MacDonald)
http://faculty.luther.edu/%7Emacdonal/GA&GC.pdf
Geometric Algebra (Eric Chisolm)
http://arxiv.org/pdf/1205.5935v1.pdf
--Other videos in this GA tutorial series--
00 GA tutorial Intro & Overview
[UnderConstruction]
01 From Vectors to Multivectors
Part 1: https://youtu.be/P-IKemH3jsg
Part 2: https://youtu.be/FUivWb4k_bE
Part 3: https://youtu.be/b0K451IxLBQ
02 Geometric Product of Vectors (redux)
[UnderConstruction]
03 Grades and Blades
[UnderConstruction]
04 Q&A #01
[UnderConstruction]
.
.
.
*Note: I'm very busy right now wrapping up my PhD dissertation (which does involve multivector analysis), and I do not have much time to work on these videos, so I cannot predict when the future videos planned for this series will be completed. Subscribing to my youtube channel will help keep you aware of any new videos I post. In the mean time, here are some other GA related youtube videos I recommend.
Mathoma's "Geometric Algebra" playlist is a really good (undergraduate friendly) first introduction to GA:
https://www.youtube.com/playlist?list=PLpzmRsG7u_gqaTo_vEseQ7U8KFvtiJY4K
"The Vector Algebra War" (J. Chappell, A. Iqbal, J. Hartnett, D. Abbott)
https://www.youtube.com/watch?v=_AaOFCl2ihc
"Tutorial on Clifford's Geometric Algebra" (E. Hitzer)
https://www.youtube.com/watch?v=sHjXccDAIzw&list=PL8mAte7RusZp7_-TnLdizhTpWfKdWuYzr
Alan Macdonald's "Geometric Calculus" tutorial:
https://www.youtube.com/playlist?list=PLLvlxwbzkr7i6DlChcYEL7nJ8R9ZuV8JA
**Also, here's the link to that amazing William Rowan Hamilton song mentioned at
2:19 of this (part 3) video: https://youtu.be/SZXHoWwBcDc
***Last updated: 10 October 2016***

Views: 1528
Nick Okamoto

We show how to use wolfram alpha to find norms and cross product of vectors.

Views: 3505
inyourfacemath

Finding a Missing Component of a Cross Product Given One Vector and Unknown Vector.
In this example, we have an unknown vector, a known vector and all of the cross product except for one component. We find that missing component.

Views: 9948
patrickJMTPhysics

In this second part, we'll investigate the algebraic properties and geometric meaning of this extended dot and wedge product. We'll see that vectors in the plane of a bivector anticommute with the bivector under the geometric product and vectors orthogonal to the plane of a bivector will commute with that bivector. This will allow us to say in general what it means to dot a vector with a bivector and what it means to wedge a vector with a bivector.
References / Further Reading:
1. Lasenby and Doran's "Geometric Algebra for Physicists".
2. Recommended video on Clifford algebra:
https://www.youtube.com/watch?v=rqadK8-dN-Y
3. And other video series covering Geometric Algebra (Nick Okamoto): https://www.youtube.com/watch?v=P-IKemH3jsg&list=PLQ6JJNfj9jD_H3kUopCXkvvGoZqzYOzsV

Views: 2339
Mathoma

http://demonstrations.wolfram.com/Signed2DTriangleAreaFromTheCrossProductOfEdgeVectors
The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily.
The signed area of a triangle T in the x-y plane with vertices a, b, c is given by half the z component of the cross product (OverscriptBox[v, ?]?OverscriptBox[w, ?])_z of the edge vectors OverscriptBox[v, ?]=b-a and OverscriptBox[w, ?]=c-a.
Contributed by: Jim Arlow
Audio created with WolframTones:
http://tones.wolfram.com

Views: 215
wolframmathematica

http://demonstrations.wolfram.com/CrossProductOfVectorsInTheYZPlane/
The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily.
This Demonstration shows the cross product v-gtxw-gt of the vectors v-gt and w-gt. Since both vectors are in the y -z plane, the resulting vector is on the x axis.
Contributed by: Izidor Hafner
Based on a program by: Bruce Torrence

Views: 401
wolframmathematica

Watch in 720p/1080p HD and on full screen for best quality. This is a tutorial on how to using Maple 16 to find the cross product and dot product of a vector.The videos is sped up and without background sound. Some of the older videos are a little annoying with the music and VERY long. The idea is that you can watch this, get what you want out of it and move on.This is just an experiment and if the reception is good, will continue to make some videos this way. The idea is that you can watch this, get what you want out of it and move on.

Views: 3509
EngineeringHacks

What is the Cartesian product of two graphs? We start with a reminder of what this means just for sets and then provide the formal definition for graphs. We include a few examples to become familiar with the idea and we also briefly discuss what a hypercube (or n-cube) is in graph theory.
-- Bits of Graph Theory by Dr. Sarada Herke.
Related videos:
http://youtu.be/S1Zwhz-MhCs - Graph Theory: 02. Definition of a Graph
http://youtu.be/RURnaoPTEMI - Discrete Math: 04. Gray Codes
For quick videos about Math tips and useful facts, check out my other channel
"Spoonful of Maths" - http://youtube.com/spoonfulofmaths

Views: 17592
Sarada Herke

In this video, I introduce some of the concepts of geometric (Clifford) algebra, focusing on two-dimensional space (R^2). We'll talk about the wedge (exterior) product, review the dot product, and introduce the geometric product. We'll see that a new mathematical object, the bivector, arises from considering the wedge product. Furthermore, we're going to see that this bivector behaves like an imaginary unit in that it squares to -1. Since it has this property, it naturally relates to vector rotation in 2D, like the complex numbers.
Recommended video on Clifford algebra:
https://www.youtube.com/watch?v=rqadK8-dN-Y
...and other video series covering Geometric Algebra (Nick Okamoto): https://www.youtube.com/watch?v=P-IKemH3jsg&list=PLQ6JJNfj9jD_H3kUopCXkvvGoZqzYOzsV

Views: 17859
Mathoma

Intro to the Levi-Civita symbol and an example with a cross product.

Views: 25715
PhysicsHelps

A tutorial on how to find the shortest distance from one point to a line.
This tutorial covers using the coordinates of an unknown point on a line from the vector equation of the line, and considering perpendicularity of vectors.
For updates on tutorials and examination walk throughs, as well as to contact me for help, visit www.twitter.com/mathormaths or www.facebook.com/mathmathsmathematics

Views: 114212
MathMathsMathematics

Learn More at mathantics.com
Visit http://www.mathantics.com for more Free math videos and additional subscription based content!

Views: 2466712
mathantics

Dot Product of Vector with Itself.

http://www.freemathvideos.com In this video series you will learn multiple math operations. I teach in front of a live classroom showing my students how to solve math problems step by step. My math tutorials should be used to review previous lessons, complete your homework, or study for a test.
v = 6i - 6j

Views: 46729
Brian McLogan

http://demonstrations.wolfram.com/DotAndCrossProductsRelatedToComplexMultiplication
The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily.
A complex number can be considered as a vector and vice versa, both points of view having their own context. The operations transforming vectors and complex numbers are particular to them; vectors use the dot and cross x products while complex numbers...
Contributed by: Jaime Rangel-Mondragon

Views: 465
wolframmathematica

Using the HP 35s to enter and operate on vectors. Unfortunately it does not do cross products, though there are a number of programs that have been written that will handle this.

Views: 978
Logan West

Figuring out a normal vector to a plane from its equation
Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/dot_cross_products/v/point-distance-to-plane?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra
Missed the previous lesson?
https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/dot_cross_products/v/vector-triple-product-expansion-very-optional?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra
Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra.
About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.
For free. For everyone. Forever. #YouCanLearnAnything
Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1
Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy

Views: 452573
Khan Academy

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !!
Vector Basics - Drawing Vectors/ Vector Addition. In this video, I discuss the basic notion of a vector, and how to add vectors together graphically as well as what it means graphically to multiply a vector by a scalar.
For more free math videos, visit http://PatrickJMT.com

Views: 697526
patrickJMT

Some people say this is "how the Japanese multiply." Others say this is "Vedic Math." I'm not sure of the origin, but this is a visual way to multiply two numbers and it does work. The video also shows how to use the same method to multiply algebraic expressions like (x + 2)(x + 3).
Here's a blog post I wrote on this: http://mindyourdecisions.com/blog/2012/01/27/multiplicating-with-lines-math-trick-how-it-works/
Many people asked me to write a reference guide. So I wrote a book "Multiply Numbers By Drawing Lines." https://www.amazon.com/gp/product/1500866148/
I've made a few follow-up videos you might like.
Multiply by lines (advanced examples)
https://www.youtube.com/watch?v=DUop79ZKxmc
Multiply by lines (why it works)
https://www.youtube.com/watch?v=bL5eUQIMaek
Multiply by lines (the rotation trick)
https://www.youtube.com/watch?v=scCfeJhJ2TA
If you like my videos, you can support me at Patreon: http://www.patreon.com/mindyourdecisions
Connect on social media. I update each site when I have a new video or blog post, so you can follow me on whichever method is most convenient for you.
My Blog: http://mindyourdecisions.com/blog/
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My Books
"The Joy of Game Theory" shows how you can use math to out-think your competition. (rated 4/5 stars on 23 reviews) https://www.amazon.com/gp/product/1500497444
"The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias" is a handbook that explains the many ways we are biased about decision-making and offers techniques to make smart decisions. (rated 5/5 stars on 1 review) https://www.amazon.com/gp/product/1523231467/
"Math Puzzles Volume 1" features classic brain teasers and riddles with complete solutions for problems in counting, geometry, probability, and game theory. Volume 1 is rated 4.5/5 stars on 11 reviews. https://www.amazon.com/gp/product/1517421624/
"Math Puzzles Volume 2" is a sequel book with more great problems. https://www.amazon.com/gp/product/1517531624/
"Math Puzzles Volume 3" is the third in the series. https://www.amazon.com/gp/product/1517596351/
"40 Paradoxes in Logic, Probability, and Game Theory" contains thought-provoking and counter-intuitive results. (rated 4.9/5 stars on 7 reviews) https://www.amazon.com/gp/product/1517319307/
"The Best Mental Math Tricks" teaches how you can look like a math genius by solving problems in your head (rated 4.7/5 stars on 3 reviews) https://www.amazon.com/gp/product/150779651X/
"Multiply Numbers By Drawing Lines" This book is a reference guide for my video that has over 1 million views on a geometric method to multiply numbers. (rated 5/5 stars on 1 review) https://www.amazon.com/gp/product/1500866148/

Views: 2021114
MindYourDecisions

In this second part, the definitions of the different operations in linear vector spaces are presented:
The norm, the distance, the dot product and the Cross product.
Please note that @1.24.24 I have stated n.x=n.y=1. It should be n.x=n.y=0.
Part of: Introduction to Continuum Mechanics by Dr. Samer Adeeb. University of Alberta, Edmonton, Alberta
The lectures are based on the ebook:
http://www.kendallhunt.com/author.aspx?id=24239

Views: 4413
Samer Adeeb

How do you find the area of a parallelogram that is bounded by two vectors? EASY!
1. Find the cross-product
2. Find the magnitude OF that cross-product.
DONE.

Views: 80562
mroldridge

How do you translate back and forth between coordinate systems that use different basis vectors?
Full series: http://3b1b.co/eola
Future series like this are funded by the community, through Patreon, where supporters get early access as the series is being produced.
http://3b1b.co/support

Views: 338661
3Blue1Brown

Here we have discussed more on vector scalar products. We also discuss the unit vector scalar product and the law of cosine

Views: 1330
Mathematical Physics

A matrix times a vector leaves a similarly sized vector.
You can learn more about Mathematica on my Udemy course at https://www.udemy.com/mathematica/
PS! Wait until Udemy has a sale and save a lot when signing up.

Views: 7
Juan Klopper

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Views: 3
Amir Shane

► My Vectors course: https://www.kristakingmath.com/vectors-course
Learn how to find the volume of the parallelepiped given three vectors.
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Hi, I’m Krista! I make math courses to keep you from banging your head against the wall. ;)
Math class was always so frustrating for me. I’d go to a class, spend hours on homework, and three days later have an “Ah-ha!” moment about how the problems worked that could have slashed my homework time in half. I’d think, “WHY didn’t my teacher just tell me this in the first place?!”
So I started tutoring to keep other people out of the same aggravating, time-sucking cycle. Since then, I’ve recorded tons of videos and written out cheat-sheet style notes and formula sheets to help every math student—from basic middle school classes to advanced college calculus—figure out what’s going on, understand the important concepts, and pass their classes, once and for all. Interested in getting help? Learn more here: http://www.kristakingmath.com
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GOOGLE+ // https://plus.google.com/+Integralcalc/
QUORA // https://www.quora.com/profile/Krista-King

Views: 56388
Krista King