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In this video, we look at how to work out the resultant of two forces at an angle by using a vector diagram.

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Vector multiplication can be tricky, and in fact there are two kinds of vector products. We already learned the dot product, which is a scalar, but there is another way to multiply vectors to get another vector, and it's called the cross product. Let's learn how to do this now!

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In this video, we look at what is meant by scalar and vector quantities. We then look at distance as an example of a scalar quantity and displacement as an example of a vector quantity.

This video is based on the AQA spec. If you are following a different exam board then you should check your specification. The Amazon link above is an affiliate link. This provides a small commission which helps to support freesciencelessons. The cost remains the same to you. If you prefer not to use this, you can search Amazon for the Freesciencelessons workbooks.

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Map of Newcastle
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View more lessons like this at http://www.MathTutorDVD.com

In this lesson, we will learn how to add vectors graphically in order to find the sum of two vectors. This process is called finding the resultant vector.

In this process, the vectors are drawn head to tail and then the resultant vector is drawn from the tail of the first vector to the head of the second vector.

We calculate the sum of vectors for many purposes. We might add two forces together or add two displacement vectors. We can even add angular momentum vectors or add velocity vectors. The process works for any two vectors that should be added together to solve physics problems.

This video explains how to use the parallelogram method to find the resultant sum of two vectors. You need to be familiar with law of cosines formula in order to make this work.

Kinematics In One Dimension: https://www.youtube.com/watch?v=dHjWVlfNraM

Free Fall Physics Problems:
https://www.youtube.com/watch?v=BVgemK1Y2wA

2-Stage Rocket Problem:
https://www.youtube.com/watch?v=EAQDQbeCTdk

Terminal Velocity:
https://www.youtube.com/watch?v=DxnDkDwK3JA

Motion Time Graphs:
https://www.youtube.com/watch?v=nUb7xfkc0Ac

________________________________
Vectors - Basic Introduction:
https://www.youtube.com/watch?v=EwSHKuSxX_8

Resultant Force - Two Vectors:
https://www.youtube.com/watch?v=RxV06Oj5sMc

Projectile Motion Problems:
https://www.youtube.com/watch?v=tfItlGfPHyo

Relative Velocity:
https://www.youtube.com/watch?v=_39hCnqbNXM

Newton's Law of Motion:
https://www.youtube.com/watch?v=g550H4e5FCY

_______________________________________
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This physics and precalculus video tutorial explains how to find the dot product of two vectors and how to find the angle between vectors. The full version of this video explains how to determine if two vectors are orthogonal / perpendicular, parallel, or neither using the dot product formula and by analyzing the slope. It also explains how to find the scalar projection and the vector projection of v onto w.

Full 2 Hour 23 Minute Video on Patreon:
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https://bit.ly/3WYIGOv

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Applied Mechanics class on resolution of Vectors in 2D. This video explains how to resolve a vector into the horizontal and vertical component for a 2-dimensional Cartesian coordinate system with solved examples.

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What are all these funny little arrows? They're vectors! And we will use them to represent every single force we discuss in physics, so we need to know how to draw them, add them, subtract them, split them up into X and Y components, the whole nine yards. We also need to know the difference between vectors and scalars. So let's get this stuff taken care of before we dive into the physics!

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This physics video tutorial explains how to find the resultant of two vectors.

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Beginning the linear algebra series with the basics.
Help fund future projects: https://www.patreon.com/3blue1brown

Correction: 6:52, the screen should show [x1, y1] + [x2, y2] = [x1+x2, y1+y2]

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Thanks to Elo Marie Viennot and Ambros Gleixner from HTW Berlin (www.htw-berlin.de) for contributing German translations and dubbing.

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A vector is a fundamental concept in mathematics and physics, representing quantities that have both magnitude and direction. This video provides a clear and comprehensive introduction to vectors, making the topic accessible and easy to understand.

The video begins by defining what a vector is and how it differs from a scalar, which only has magnitude. You'll learn about the components of a vector, typically represented in a coordinate system by an arrow pointing from one point to another. The video explains how vectors are denoted, often using boldface letters or arrows above the letter, and covers the notation for their components.

Step-by-step examples demonstrate how to perform basic operations with vectors, including addition, subtraction, and scalar multiplication. You'll see how to graphically represent these operations and understand their geometric interpretations. The video also covers the concept of vector magnitude and direction, explaining how to calculate these properties using trigonometry and the Pythagorean theorem.

Visual aids and practical exercises help reinforce the concepts, ensuring you understand how to work with vectors in various contexts. The video also addresses common misconceptions and provides tips for avoiding errors.

Ideal for students, teachers, and anyone interested in mathematics and physics, this video breaks down the concept of vectors into manageable parts. By the end, you will be confident in understanding and using vectors to solve problems in both mathematics and real-world applications.

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This physics video tutorial explains how to find the components of a vector given magnitude and direction.

Vectors - Basic Introduction - Physics: https://www.youtube.com/watch?v=EwSHKuSxX_8
Scalars and Vectors: https://www.youtube.com/watch?v=rcDXQ-5H8mk
Resultant - Two Force Vectors: https://www.youtube.com/watch?v=RxV06Oj5sMc
Parallelogram Method - Resultant Vector: https://www.youtube.com/watch?v=LrwYAC_4ThY
Addition of Vectors - Using Components: https://www.youtube.com/watch?v=xS-gdFgZel0
Position Vectors and Displacement Vectors: https://www.youtube.com/watch?v=NxAvWfs92U4
_______________________________________________________________________________________________
Adding and Subtracting Vectors: https://www.youtube.com/watch?v=DxwT7fn6GtE
Scalar Multiplication of Vectors: https://www.youtube.com/watch?v=g14-ACo5vnc
Vectors - Precalculus: https://www.youtube.com/watch?v=iXdMpXMuEGI
The Dot Product of Two Vectors: https://www.youtube.com/watch?v=VzX8KJKFhlM
The Cross Product of Two Vectors: https://www.youtube.com/watch?v=pWbOisq1MJU
________________________________________________________________________________________________
Calculus 3 - Intro to Vectors: https://www.youtube.com/watch?v=2_21erD-nBg
Calculus 3 - The Dot Product: https://www.youtube.com/watch?v=Te8eL5r7aJs
Angle Between Two Vectors - Calculus 3: https://www.youtube.com/watch?v=dYPRYO8QhxU
Parallel and Orthogonal Vectors: https://www.youtube.com/watch?v=8fIZ2v-33xw
Area of a Parallelogram - Cross Product: https://www.youtube.com/watch?v=YbZmAqGUkqc
Parallelpiped - The Triple Scalar Product: https://www.youtube.com/watch?v=6NeAK0rJwlk
Direction Cosines Angles of a Vector: https://www.youtube.com/watch?v=ZoCxUV893fo
Vector Projections - Calculus 3: https://www.youtube.com/watch?v=Rw70zkvqEiE
Vector Equations - Calculus 3: https://www.youtube.com/watch?v=MkjazYnvNP8
_______________________________________________________________________________________________
General Chemistry - For Beginners: https://www.youtube.com/watch?v=-KfG8kH-r3Y
Organic Chemistry - Basic Introduction: https://www.youtube.com/watch?v=B_ketdzJtY8
Physics - Basic Introduction: https://www.youtube.com/watch?v=b1t41Q3xRM8
Algebra For Beginners: https://www.youtube.com/watch?v=MHeirBPOI6w
Geometry - Introduction: https://www.youtube.com/watch?v=302eJ3TzJQU
Trigonometry - For Beginners: https://www.youtube.com/watch?v=PUB0TaZ7bhA
Calculus 1 - Intro to Limits: https://www.youtube.com/watch?v=YNstP0ESndU
Calculus 1 - Derivatives: https://www.youtube.com/watch?v=5yfh5cf4-0w
Calculus 1 - Antiderivatives & Integration: https://www.youtube.com/watch?v=xaCPDMEkbig
Statistics - Basic Introduction: https://www.youtube.com/watch?v=XZo4xyJXCak
Excel Tutorial For Beginners: https://www.youtube.com/watch?v=nK-uNYuvcag
______________________________________________________________________________________________
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A Level Physics Vectors Practice Questions on vector addition and vector resolution. Useful for all exam boards including OCR A, OCR B, Edexcel, AQA, Educas etc.
Chapters:
00:00 Intro
00:16 Q1 - two tugboats
05:05 Q2 - resolving the tension vector
09:00 Q3- adding non-perpendicular vectors by resolution
14:02 Q4- sine and cosine rules
17:48 Q5 Breadth in Physics 2018 Q22

This scalars and vectors physics video tutorial explains how to distinguish a scalar quantity from a vector quantity. It gives plenty of examples of scalar quantities and vector quantities. Mass, temperature, volume, distance, and speed are all scalar quantities while velocity, displacement, force, and acceleration are all vector quantities. A scalar quantity has magnitude only while a vector quantity can be described in terms of magnitude and direction.

Physics - Basic Introduction:
https://www.youtube.com/watch?v=b1t41Q3xRM8

Physics With Calculus:
https://www.youtube.com/watch?v=IQ4LGQRBhrc

Scientific Notation:
https://www.youtube.com/watch?v=ZtB0vJMGve4

Significant Figures:
https://www.youtube.com/watch?v=l2yuDvwYq5g

How To Convert Units:
https://www.youtube.com/watch?v=eK8gXP3pImU

_______________________________
Temperature Conversions:
https://www.youtube.com/watch?v=G7sRfdAq4M8

Scalars and Vectors:
https://www.youtube.com/watch?v=rcDXQ-5H8mk

Distance and Displacement:
https://www.youtube.com/watch?v=-Py2zI29THg

Acceleration and Velocity:
https://www.youtube.com/watch?v=P0UYC8S4kUI

Is The Car Speeding Up or Slowing Down?
https://www.youtube.com/watch?v=3t4eug8ARcs

_______________________________________
Final Exams and Video Playlists:
https://www.video-tutor.net/

Full-Length Videos and Worksheets:
https://www.patreon.com/MathSc....ienceTutor/collectio

Physics PDF Worksheets:
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Vectors - Free Formula Sheet:
https://bit.ly/3WYIGOv

In this video I cover ALL of the major topics with vectors in only 50 minutes. There are tons of FREE resources for help with all math topics at jensenmath.ca.

0:00 - What is a vector
4:58 - Vector Addition
8:12 - Vector Subtraction
12:15 - Scalar Multiplication
16:55 - Dot Product
22:58 - Cross Product
30:20 - Vector Equation of a Line
35:21 - Equation of a Plane
42:19 - Intersection of Lines in 3D
46:08 - Intersection of Planes