Search results “Vectors dot product”

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!
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Professor Dave Explains

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

Views: 55794
The Organic Chemistry Tutor

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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.

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patrickJMT

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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

Views: 348303
Physics Wallah - Alakh Pandey

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
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Khan Academy

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
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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.
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Khan Academy

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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.
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3Blue1Brown

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ExamSolutions

Visual interpretation of the cross product and the dot product of two vectors.
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Physics Videos by Eugene Khutoryansky

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: 357810
patrickJMT

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.
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Views: 443553
Khan Academy

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: 15369
numericalmethodsguy

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.
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The Organic Chemistry Tutor

This physics video tutorial explains how to find the cross product of two vectors using matrices and determinants and how to confirm your answer using the dot product formula. This video contains plenty of examples and practice problems using the components i j k.

Views: 89562
The Organic Chemistry Tutor

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.

Views: 23531
The Organic Chemistry Tutor

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: 221615
Real Physics

► My Vectors course: https://www.kristakingmath.com/vectors-course
Learn how to find the dot product of two vectors. The dot product is also called the scalar product or inner product.
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Krista King

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: 72084
Michel van Biezen

This video explains why the dot product is about how much vectors point the same way.

Views: 9435
Looking Glass Universe

Revision Village - Voted #1 IB Maths Resource in 2019! More IB Maths Videos & Exam Questions can be found at https://www.revisionvillage.com/
This video explores the vector Scalar Product and the angle between two vectors. These are key exam concepts found in IB Maths SL Topic 4, Vectors.
Revision Village - IB Maths
https://www.revisionvillage.com/

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Revision Village - IB Maths

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MathTheBeautiful

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.

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Professor Leonard

I created this video with the YouTube Video Editor (http://www.youtube.com/editor)

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cbseclass videos

In this video I have explained how to find scalar and vector product of two vectors , how to find scalar and vector product of two vectors when both the vectors are given in component forms .
The dot (scalar) product is the trigonometric cosine rule applied to vectors. The result of a dot product is the cosine of the angle between the two vectors multiplied by the magnitudes of the vectors.
The cross product is a vector at right angles to both of the given vectors and whose length is equal to the sine of the angle between the vectors multiplied by the magnitudes of the vectors. The length of the cross-product vector is also equal to the area of the parallelogram formed by these vectors.
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Dhiman Rajesh Dhiman

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
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The Coding Train

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: 15350
MathAndScience[.]com

Learn how to determine the dot product of vectors. The dot product of two vectors also called the scalar product of the vectors is the sum of the product of the components of the vectors in each direction. When the magnitudes of the vectors are known and the angle between the vectors is known, the dot product of the vectors is given by the product of the magnitude of the vectors and the cosine of the angle between the vectors.
#trigonometry#vectors
#vectors

Views: 2901
Brian McLogan

What is Scalar Product & why it is defined the way it is defined

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Lighthouse

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studyezee

This video provides several examples of how to determine the dot product of vectors in three dimensions and discusses the meaning of the dot product.
Site: http://mathispower4u.com

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Mathispower4u

This video shows you how to use a Casio Fx-991ES Plus calculator to calculate a dot product of two vectors.

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Calculator Expert

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

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The Organic Chemistry Tutor

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Shridhar Jagtap

Subscribe! http://www.freemathvideos.com Want more math video lessons? Visit my website to view all of my math videos organized by course, chapter and section. The purpose of posting my free video tutorials is to not only help students but allow teachers the resources to flip their classrooms and allow more time for teaching within the classroom. Please feel free to share my resources with those in need or let me know if you need any additional help with your math studies. I am a true educator and here to help you out.

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Brian McLogan

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∥cosθ,
where θθ is the angle between aa and uu.
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Najam Academy

Visit http://ilectureonline.com for more math and science lectures!
In this video I will show you how to calculate the dot product of 2 vectors, example 1.
Next video in this series can be seen at:
https://youtu.be/N3Yy5EvLRbc

Views: 44598
Michel van Biezen

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Jaipal Vishwakarma

Article: https://betterexplained.com/articles/vector-calculus-understanding-the-dot-product/

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Better Explained

Vectors - Dot Products - Cross Products - 3D Kinematics - Great Demos
Assignments Lecture 1, 2, 3 and 4: http://freepdfhosting.com/614a811c6d.pdf
Solutions Lecture 1, 2, 3 and 4: http://freepdfhosting.com/90c2930d13.pdf

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Lectures by Walter Lewin. They will make you ♥ Physics.

Using Dot Product to Find the Angle Between Two Vectors. You can use one of the dot product formulas to actually compute the angle between two vectors. Here we show how to use this formula to find an angle theta between two vectors Subscribe on YouTube: http://bit.ly/1bB9ILD
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Firefly Lectures

This Physics and Trigonometry video tutorial shows you how to find the angle between two vectors using the dot product in addition to another simple intuitive method using inverse tangent. This video may be useful for students taking precalculus. This video contains plenty of examples and practice problems.

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The Organic Chemistry Tutor

Scalar Product
The scalar product and the vector product are the two ways of multiplying vectors which see the most application in physics and astronomy. The scalar product of two vectors can be constructed by taking the component of one vector in the direction of the other and multiplying it times the magnitude of the other vector.
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TutorVista

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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

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Physics Wallah - Alakh Pandey

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Uniclass Content

Calculating the dot and cross products when vectors are presented in their x, y, and z (or i,j, and k) components. Created by Sal Khan.
Watch the next lesson: https://www.khanacademy.org/science/physics/magnetic-forces-and-magnetic-fields/magnetic-flux-faradays-law/v/flux-and-magnetic-flux?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/dot-vs-cross-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.
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Khan Academy

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

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Virtually Passed

This video provides several examples of how to determine the dot product of vectors in two dimensions and discusses the meaning of the dot product.
Site: http://mathispower4u.com

Views: 8530
Mathispower4u

© 2019 Making funny faces with food

Under the late republic, the number of provinces rapidly increased, and therefore, Pompey the Great proposed a new law, the Lex Pompeia de provinciis , in which former praetors and consuls were obliged to become governor five years after their term in office (53). At more or less the same time, he had himself elected as governor of several provinces, which were not governed by himself, but by his representatives, the legati . The emperor Augustus copied this idea when he changed the empire, until then ruled as a republic, into a monarchy. He was made governor of almost all provinces with legions, and used legati to rule them. At the same time, the rest of the empire was governed by proconsuls. So, there were two types of governors: Proconsuls. In fact, these men were not former consuls, but former praetors. They governed the senatorial provinces and typically served twelve months. Only the rich provinces -Asia and Africa- were entitled to a proconsul who was indeed an ex-consul. Legati Augusti pro praetore. These men served in the emperors provinces with the armies (the imperial provinces ). Usually, their term in office lasted thirty-six months, although the emperor Tiberius preferred longer terms. There was a third group of governors. In several unimportant provinces, prefects were appointed. Usually, these military men governed parts of larger provinces. The best known example is Pontius Pilate, who governed Judaea, an annex to Syria. Prefects were not senators but knights. Egypt was also governed by a prefect, not because it was unimportant, but because it was the emperors own possession. When Septimius Severus conquered Mesopotamia, he used the same construction. After the mid-first century, the prefects were gradually replaced by procurators (except for Egypt). The only difference is that prefects were soldiers and procurators were fiscal officials. It tells something about the success of the Pax Romana .