Home
Search results “In dot product”
Dot products and duality | Essence of linear algebra, chapter 9
 
14:12
Home page: https://www.3blue1brown.com/ Dot products are a nice geometric tool for understanding projection. But now that we know about linear transformations, we can get a deeper feel for what's going on with the dot product, and the connection between its numerical computation and its geometric interpretation. 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 ------------------ 3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted about new videos, subscribe, and click the bell to receive notifications (if you're into that). If you are new to this channel and want to see more, a good place to start is this playlist: https://goo.gl/WmnCQZ Various social media stuffs: Website: https://www.3blue1brown.com Twitter: https://twitter.com/3Blue1Brown Patreon: https://patreon.com/3blue1brown Facebook: https://www.facebook.com/3blue1brown Reddit: https://www.reddit.com/r/3Blue1Brown
Views: 605488 3Blue1Brown
The dot product | Magnetic forces, magnetic fields, and Faraday's law | Physics | Khan Academy
 
10:33
Introduction to the vector dot product. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/magnetic-forces-and-magnetic-fields/electric-motors/v/dot-vs-cross-product?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/magnetic-forces-and-magnetic-fields/electric-motors/v/magnetism-11-electric-motors?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. 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 Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy
Views: 453126 Khan Academy
Vectors - The Dot Product
 
07:27
Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! For more FREE math videos, visit http://PatrickJMT.com !! Vectors - The Dot Product. I show how to compute the dot product of two vectors, along with some useful theorems and results involving dot products. 3 complete examples are shown.
Views: 891664 patrickJMT
Cross Product and Dot Product: Visual explanation
 
04:08
Visual interpretation of the cross product and the dot product of two vectors. My Patreon page: https://www.patreon.com/EugeneK
Dot Product of Two Vectors
 
50:45
This physics & precalculus video tutorial explains how to find dot product of two vectors and how to find the angle between vectors. In addition, it explains how to determine if two vectors are orthogonal / perpendicular, parallel, or neither using the dot product formula and by analyzing the slope. This video contains plenty of examples and practice problems. Here is a list of topics: 1. Dot Product of Two Vectors 2. How to Find the Angle Between Two Vectors Using Cosine & Tangent 3. How to find the magnitude of a vector 4. Geometric Interpretation of Vectors 5. Parallel and Perpendicular Vectors 6. How to determine if two vectors are orthogonal using the dot product formula and by finding the slope 7. How to express a vector in component form given magnitude and angle 8. Dot product of Two Vectors Using Three Components in i j k 9. Graphical Representation of Vectors
The Vector Dot Product
 
06:59
We learned how to add and subtract vectors, and we learned how to multiply vectors by scalars, but how can we multiply two vectors together? There are two ways to do this, and one of them is called the dot product. Let's learn how to find the dot product of two vectors now! Subscribe: http://bit.ly/ProfDaveSubscribe [email protected] http://patreon.com/ProfessorDaveExplains http://professordaveexplains.com http://facebook.com/ProfessorDaveExpl... http://twitter.com/DaveExplains Mathematics Tutorials: http://bit.ly/ProfDaveMaths Classical Physics Tutorials: http://bit.ly/ProfDavePhysics1 Modern Physics Tutorials: http://bit.ly/ProfDavePhysics2 General Chemistry Tutorials: http://bit.ly/ProfDaveGenChem Organic Chemistry Tutorials: http://bit.ly/ProfDaveOrgChem Biochemistry Tutorials: http://bit.ly/ProfDaveBiochem Biology Tutorials: http://bit.ly/ProfDaveBio American History Tutorials: http://bit.ly/ProfDaveAmericanHistory
Class 11 Chapter 4 : VECTOR 05 :SCALAR PRODUCT OF VECTORS|| DOT PRODUCT OF VECTORS ||
 
33:00
To support me in my journey you can donate ([email protected] 9161123482) or Alakh Pandey ,Bank of Baroda, Rajrooppur, Allahabad,U.P IFSC: BARB0RAJROO Account No: 19210100020819 A small amount of Rs 100 even will be of great help. Follow us on: Instagram https://www.instagram.com/physicswallah/ Facebook: https://www.facebook.com/physicswallah Class 11 Chapter 4 : Vector 01 : Scalar and Vector || Types of Vector || Angle between Two Vectors https://youtu.be/253EkOqCrmM CLass 11 : Chapter 4 VECTOR 02 || VECTOR ADDITION || PARALLELOGRAM LAW OF VECTOR AADDITION || https://youtu.be/zHhIlBOiLV0 CLass 11 Chapter 4 : VECTOR 03 : ADDITION and SUBTRACTION OF VECTORS || IIT JEE / NEET || https://youtu.be/5jTL9iguDEQ Class 11 Physics Chapter 4 : VECTOR 04 RESOLUTION OF VECTOIR AND ADDITION OF THREE VECTORS https://youtu.be/3BE_A2v9SmI Class 11 Chapter 4 : VECTOR 05 :SCALAR PRODUCT OF VECTORS|| DOT PRODUCT OF VECTORS || https://youtu.be/Arxus4I23hM Class 11 Chapter 4 : VECTOR 06 VECTOR PRODUCT || CROSS PRODUCT OF VECTORS || IIT JEE / NEET VECTORS https://youtu.be/QPLEx-eh3FA Class 11 chap 04 || Vector 07 || Triangle Law Of Vector Addition || Triangle Law Vectors https://youtu.be/YOs0Y4TtK-U Class 11 chapter 04 || Vector 08 || Cosine Law || Proof Of Cosine Law by Vectors|| Triangle Law https://youtu.be/qk3NIyaw8Nc
Vector dot product and vector length | Vectors and spaces | Linear Algebra | Khan Academy
 
09:10
Definitions of the vector dot product and vector length Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/dot_cross_products/v/proving-vector-dot-product-properties?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/subspace_basis/v/linear-algebra-basis-of-a-subspace?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: 658972 Khan Academy
Dot Product
 
06:23
The DOT PRODUCT or SCALAR PRODUCT: Shows the basics of the dot product using unit vectors. Here's a Fun Gift Idea for Perfect for Your Mom or Dad or That Fun Uncle or Aunt Who Has Always Teased You! "Is This Really YOUR Book? A Collection of 61 Awkward Book Covers Designed to Surprise Your Friends" http://www.isthisreallyyourbook.com (Please Note: At this time we only deliver to U.S. and Canada.)
Views: 41449 lasseviren1
Calculus 3 - The Dot Product
 
13:34
This calculus 3 video tutorial explains how to find the dot product between two vectors. The result of the dot product is a scalar quantity where as the result of the cross product is a vector quantity. Subscribe: https://www.youtube.com/channel/UCEWpbFLzoYGPfuWUMFPSaoA?sub_confirmation=1 Calculus Video Playlist: https://www.youtube.com/watch?v=1xATmTI-YY8&t=25s&list=PL0o_zxa4K1BWYThyV4T2Allw6zY0jEumv&index=1 Access to Premium Videos: https://www.patreon.com/MathScienceTutor
Meaning of dot product
 
06:24
We try to understand what exactly is the dot product of two vectors and why it does not have direction?
Views: 2695 Shridhar Jagtap
The meaning of the dot product | Linear algebra makes sense
 
13:04
This video explains why the dot product is about how much vectors point the same way.
Meaning of dot product
 
09:41
Views: 58036 Shridhar Jagtap
Calculus 3 Lecture 11.3:  Using the Dot Product
 
02:29:04
Calculus 3 Lecture 11.3: Using the Dot Product: Explanation of the Dot Product, Finding the angle between two vectors including how the Dot Production show orthogonal vectors, Vector Projection, Work, and Direction angles.
Views: 126672 Professor Leonard
An Introduction to the Dot Product
 
04:06
Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! An Introduction to the Dot Product. In this video, I give the formula for the dot product of two vectors, discuss the geometric meaning of the dot product, and find the dot product between some vectors.
Views: 90912 patrickJMT
Dot Product and Projection
 
08:18
Paul Johnston showing how to use the dot product to project a vector onto another vector.
Views: 5834 Jamie King
Dot product (Scalar Product ) of two vectors| CBSE 12 Maths NCERT 10.3 intro
 
31:16
I created this video with the YouTube Video Editor (http://www.youtube.com/editor)
Views: 194272 cbseclass videos
DOT PRODUCT || in HINDI
 
14:38
In this Physics video in Hindi for class 11 we explained dot product of two vectors and derived the formula for dot multiplication. Unlike cross product, Dot product is a scalar quantity and hence it is also called the scalar product. One example is work done which is the dot product of force and displacement. The dot product of two vectors is the product of the magnitudes of those vectors and the cosine of the angle between those vectors. ★★★★★★★★★★★★★★★★ Click to visit the homepage of our channel : https://www.youtube.com/channel/UCG1-22fo1sIhXGuXYpTRqaA EduPoint by Arijit Daripa
Views: 8734 EduPoint
Review of the Dot Product
 
12:50
https://bit.ly/PG_Patreon - Help me make these videos by supporting me on Patreon! https://lem.ma/LA - Linear Algebra on Lemma https://lem.ma/prep - Complete SAT Math Prep http://bit.ly/ITCYTNew - My Tensor Calculus Textbook
Views: 11409 MathTheBeautiful
Dot Product Formula Explained - Find Angle Between Two Vectors - Physics
 
13:36
This physics video tutorial shows you how to find the dot product of two vectors represented in component form. It provides the formulas and equations needed for the calculation as well providing plenty of examples and practice problems. This video also shows you how to find the angle between two vectors.
5. Scalar Product or Dot Product (Hindi)
 
05:45
What is Scalar Product & why it is defined the way it is defined
Views: 97367 Lighthouse
Physics - Mechanics: Vectors (12 of 21) Product Of Vectors: Dot Product
 
05:58
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain the products of vectors, or dot product, or scalar product. Next video in this series can be seen at: https://youtu.be/ffAzfVYgDII
Views: 70981 Michel van Biezen
Math for Game Developers - Backstabbing (Dot Product)
 
08:46
Determining if a player is stabbing another player in the back using a dot product. See part 2 here: http://www.youtube.com/watch?v=HXpSQ7yyu3o Question? Leave a comment below, or ask me on Twitter: https://twitter.com/VinoBS
Views: 45967 Jorge Rodriguez
Dot Product & Cross Product of Two Vectors - i j k- Vector Notation Physocs
 
11:47
This physics video tutorial shows you how to calculate the dot product and cross product of two vectors using cartesian vector notation. It also shows you how to calculate the dot product and cross product given the magnitudes of the two vectors and the angle between them. It also explains the cross product of the following: ixj=k, jxk=i, kxi=j, jxi=-k, kxj=-i, ixk=-j, ixi=0, jxj=0, kxk=0
6.5: Vectors: Dot Product and Scalar Projection - The Nature of Code
 
15:23
This video provides an overview of the formula for and applications of the vector dot product. It covers scalar projection. It serves as the basis for the next video about Path Following. Read along: http://natureofcode.com/book/chapter-6-autonomous-agents/#chapter06_section7 More info: http://en.wikipedia.org/wiki/Dot_product Code from video: https://github.com/shiffman/The-Nature-of-Code-Examples/tree/master/chp06_agents/Exercise_6_09_AngleBetween https://github.com/shiffman/The-Nature-of-Code-Examples/tree/master/chp06_agents/SimpleScalarProjection Help us caption & translate this video! http://amara.org/v/Qbvg/
Views: 14304 The Coding Train
Dot vs. cross product | Physics | Khan Academy
 
10:46
Understanding the differences between the dot and cross products. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/magnetic-forces-and-magnetic-fields/electric-motors/v/calculating-dot-and-cross-products-with-unit-vector-notation?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/magnetic-forces-and-magnetic-fields/electric-motors/v/the-dot-product?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. 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 Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy
Views: 438222 Khan Academy
Dot and Cross Products
 
08:57
This is part of the Introduction to Electrodynamics series. Here, I compare the dot and cross products of two vectors from a geometric perspective.
Views: 214952 Real Physics
Vectors : Scalar or Dot Product : ExamSolutions
 
10:32
YOUTUBE CHANNEL at https://www.youtube.com/ExamSolutions EXAMSOLUTIONS WEBSITE at https://www.examsolutions.net/ where you will have access to all playlists covering pure maths, statistics and mechanics. FACEBOOK: https://www.facebook.com/examsolutions.net/ TWITTER: https://twitter.com/ExamSolutions
Views: 155484 ExamSolutions
The difference between the dot product, and the inner product.
 
09:54
This lesson discusses the notations involved with the dot product, and the notation that is involved with the inner product. We will go more in depth in the actual book.
Views: 8965 JJtheTutor
Dot Product Intuition | BetterExplained
 
08:01
Article: https://betterexplained.com/articles/vector-calculus-understanding-the-dot-product/
Views: 48550 Better Explained
When to use the Dot Product in Engineering Mechanics
 
11:43
Get the full course at: http://www.MathTutorDVD.com In this lesson, the student will learn when to use the dot product and how it can be useful to solve problems in engineering mechanics.
Views: 14999 mathtutordvd
Inner Product is Dot Product, Turned on Its Head
 
12:13
https://bit.ly/PG_Patreon - Help me make these videos by supporting me on Patreon! https://lem.ma/LA - Linear Algebra on Lemma https://lem.ma/prep - Complete SAT Math Prep http://bit.ly/ITCYTNew - My Tensor Calculus Textbook
Views: 10815 MathTheBeautiful
Vectors - Concept of Dot Product & Imp points in hindi II अदिश गुणनफल(Part 4)
 
12:16
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: 11393 Jaipal Vishwakarma
Dot Product : Find Angle Between Two Vectors , Another Example
 
02:07
Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Dot Product : Find Angle Between Two Vectors. Here I do another quick example of using the dot product to find the angle between two vectors.
Views: 352549 patrickJMT
Dot Product Of Two Vector Quantities
 
27:02
Dot Product Of Two Vector Quantities https://www.tutorialspoint.com/videotutorials/index.htm Lecture By: Mr. Pradeep Kshetrapal, Tutorials Point India Private Limited
Proving vector dot product properties | Vectors and spaces | Linear Algebra | Khan Academy
 
10:45
Proving the "associative", "distributive" and "commutative" properties for vector dot products. Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/dot_cross_products/v/proof-of-the-cauchy-schwarz-inequality?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-dot-product-and-vector-length?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: 310438 Khan Academy
Dot product of functions
 
14:12
Inner product space and examples. It's like a generalization of dot products to functions! Examples of projections and Gram-Schmidt to inner product spaces Check out my Orthogonality playlist: https://www.youtube.com/watch?v=Z8ceNvUgI4Q&list=PLJb1qAQIrmmAreTtzhE6MuJhAhwYYo_a9 Subscribe to my channel: https://www.youtube.com/channel/UCoOjTxz-u5zU0W38zMkQIFw
Views: 4357 Dr Peyam
Work and Dot Product
 
08:22
Views: 3673 Matt Anderson
Proving Dot Product Formula
 
07:48
In this video, I offer a proof of the formula presented at the end of the dot product video. Specifically V*U=|V||U|cos(theta) Law of Cosines: http://en.wikipedia.org/wiki/Law_of_cosines Vector subtraction: http://hotmath.com/hotmath_help/topics/adding-and-subtracting-vectors.html
Views: 12075 Kibblesnbits
Dot product and angle between two vectors proof
 
07:53
The angle between two vectors can be found by using the cosine rule in a clever way. Learn by viewing, master by doing www.virtuallypassed.com
Views: 9177 Virtually Passed
Properties of Dot Product
 
03:41
Properties of Dot Product Watch more videos at https://www.tutorialspoint.com/videotutorials/index.htm Lecture By: Er. Ridhi Arora, Tutorials Point India Private Limited.
Applications of the Dot Product and Cross Product
 
10:36
This video shows 3 examples of applications using the dot product and/or the cross product (torque, vector projection in 3-Space and volume of a parallelepiped). This lesson was created for the Calculus and Vectors (MCV4U) course in the province of Ontario, Canada.
Views: 12555 AlRichards314
Dot Product and Scalar Product of Vectors, Physics
 
10:35
The super easy and quick concept of Dot product of vectors or dot multiplication of vectors or scalar multiplication of vectors is explained in this video. The video covers all about the dot product and scalar produc of vectors. I will also tell you about: 1) Dot Product and Scalar Product of Vectors, Physics. 2) Physics - Mechanics: Vectors (12 of 21) Product Of Vectors: Dot Product 3) The Dot Product. 4) Class 12 Maths : Vectors - Dot product ( Scalar product ) Part 1. 5) Scalar Product or Dot Product (Hindi). 6) Cross Product and Dot Product: Visual explanation. 7) Dot vs. cross product | Physics | Khan Academy Dot product of vectors or scalar product of vectors is the multiplication of two or more vectors. Dot product or scalar product of two vectors always give us a number. a scalar function of two vectors, equal to the product of their magnitudes and the cosine of the angle between them. The Dot Product gives a number as an answer (a "scalar", not a vector). The Dot Product is written using a central dot: a · b This means the Dot Product of a and b We can calculate the Dot Product of two vectors this way: dot product magnitudes and angle a · b = |a| × |b| × cos(θ) Where: |a| is the magnitude (length) of vector a |b| is the magnitude (length) of vector b θ is the angle between a and b he dot product between two vectors is based on the projection of one vector onto another. Let's imagine we have two vectors aa and bb, and we want to calculate how much of aa is pointing in the same direction as the vector bb. We want a quantity that would be positive if the two vectors are pointing in similar directions, zero if they are perpendicular, and negative if the two vectors are pointing in nearly opposite directions. We will define the dot product between the vectors to capture these quantities. But first, notice that the question “how much of aa is pointing in the same direction as the vector bb” does not have anything to do with the magnitude (or length) of bb; it is based only on its direction. (Recall that a vector has a magnitude and a direction.) The answer to this question should not depend on the magnitude of bb, only its direction. To sidestep any confusion caused by the magnitude of bb, let's scale the vector so that it has length one. In other words, let's replace bb with the unit vector that points in the same direction as bb. We'll call this vector uu, which is defined by u=b∥b∥. u=b∥b∥. The dot product of aa with unit vector uu, denoted a⋅ua⋅u, is defined to be the projection of aa in the direction of uu, or the amount that aa is pointing in the same direction as unit vector uu. Let's assume for a moment that aa and uu are pointing in similar directions. Then, you can imagine a⋅ua⋅u as the length of the shadow of aa onto uu if their tails were together and the sun was shining from a direction perpendicular to uu. By forming a right triangle with aa and this shadow, you can use geometry to calculate that a⋅u=∥a∥cosθ,(1) (1)a⋅u=∥a∥cos⁡θ, where θθ is the angle between aa and uu. (Najam Academy is Free Online Educational Academy that provides Free and quality Education. Najam Academy is providing best and conceptual tutorials of Physics, Maths, Chemistry and Biology. The aim of Najam Academy is to provide Free Education to everyone and everyone should have access to Quality Education. The Academy is covering the syllabus of High School and College.
Views: 5940 Najam Academy
Scalar or Dot product
 
09:33
Physics_P-11-12-vec-equ-18.mp4
Views: 10937 Sabaq. Pk
Linear Algebra 20g: The Dot Product - One of the Most Brilliant Ideas in All of Linear Algebra
 
15:54
https://bit.ly/PG_Patreon - Help me make these videos by supporting me on Patreon! https://lem.ma/LA - Linear Algebra on Lemma https://lem.ma/prep - Complete SAT Math Prep http://bit.ly/ITCYTNew - My Tensor Calculus Textbook
Views: 10501 MathTheBeautiful
The Scalar Product or Dot Product for Physics
 
10:00
An introduction to the scalar product of dot product for AP Physics. Here's a Fun Gift Idea for Perfect for Your Mom or Dad or That Fun Uncle or Aunt Who Has Always Teased You! "Is This Really YOUR Book? A Collection of 61 Awkward Book Covers Designed to Surprise Your Friends" http://www.isthisreallyyourbook.com (Please Note: At this time we only deliver to U.S. and Canada.)
Views: 39240 lasseviren1
Dot product of two vectors: Example
 
01:41
Learn via an example what is the dot product of two vectors. For more videos and resources on this topic, please visit http://ma.mathforcollege.com/mainindex/02vectors/
Views: 14303 numericalmethodsguy
Applications of the Dot Product.avi
 
10:39
This video shows how to use the dot product to find the angle between 2 vectors in component form (in 2-Space) and also how to find the projection of a vector onto another vector in 2-Space. This lesson was created for the Calculus and Vectors (MCV4U) course in the province of Ontario, Canada.
Views: 14339 AlRichards314
DO YOU EVEN COMPLEX DOT PRODUCT BRO!?
 
08:47
How to take the dot product of complex vectors? I want to get into dirac notation for quantum mechanics, but figured this might be a necessary video to make first. link to tutoring website: dotsontutoring.simplybook.me
Views: 3764 Andrew Dotson