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]

Music: https://vincerubinetti.bandcam....p.com/track/grants-e

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

Thanks also to these viewers for their contributions to the subtitles
Arabic: @Cewkins, Hazem
Bengali: Md Rasheduzzaman
Czech: @Chnapak
Greek: Nikolaos Tsagkas
Hebrew: Omer Tuchfeld
Italian: mattiacolucci
Spanish: Juan Carlos Largo
Thai: own doggoV●ᴥ●V

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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

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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.

More Lessons: http://www.MathAndScience.com
Twitter: https://twitter.com/JasonGibsonMath

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
______________________________________________________________________________________________
SAT Math Part 1: https://www.youtube.com/watch?v=fTGuTEQCsZY
ACT Math Test Prep: https://www.youtube.com/watch?v=SsA7rZ8kczM
GRE Math Test Prep: https://www.youtube.com/watch?v=z6lbrzaCbdk
Full-Length Exam Videos + Worksheets: https://bit.ly/45QJSWo
E-Book & E-mail Newsletter: https://bit.ly/3tSkFhf
Vectors - Free Formula Sheet: https://bit.ly/3WYIGOv

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:
https://www.video-tutor.net/physics-basic-introduction.html

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

🎯NEET 2024 Paper Solutions with NEET Answer Key: https://www.youtube.com/watch?v=fwXYZUBp4m0&list=PLmdFyQYShrjc4OSwBsTiCoyPgl0TJTgon&index=1
📅🆓NEET Rank & College Predictor 2024: https://infinitylearn.com/neet-rank-predictor?utm_source=YouTube&utm_medium=NEETYT&utm_campaign=LIVE Length, mass, time, speed, area, volume, temperature, money - they are the things for which we need just a number to describe them. But there are quantities for which just a number is not sufficient to describe them.

To watch more High School Math videos, click here - https://bit.ly/HighSchoolMath_DMYT

Don’t Memorise brings learning to life through its captivating educational videos. To Know More, visit https://infinitylearn.com/

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

In this lesson we begin the study of vector physics, which is the part of physics that deals with using vectors to solve problems. The first step in solving vector problems is usually that break up the vector into components.

Using trigonometry, we break up the vector into a horizontal component and a vector component, and we use the component form of a vector to solve the physics equations in each direction separately.

For example, we use the horizontal components of of the force and velocity vector to solve the motion in the horizontal direction (x direction). Separately, we use the vertical components of the same vectors to solve for the vertical motion..

Chad provides a comprehensive lesson on everything related to Vectors and the role they play in Physics. He begins with a trigonometry review covering the trigonometric identities commonly used in working with vectors. He then defines a vector and explains the difference between a scalar vs vector quantity. He then shows exactly how to split vectors down into x and y components explaining the standard of using the angle with respect to the x-axis. Finally, Chad demonstrates how to add two vectors together as follows:
1. Splitting vectors into components
2. Adding the x and y components together separately
3. Combining the x and y components using the pythagorean theorem to find the magnitude of the resultant vector
4. Using the tangent identity to calculate the direction (angle) of the resultant vector

00:00 Lesson Introduction
00:56 Trigonometry Review
08:49 Scalar vs Vector Quantity
12:44 How to Split a Vector into X and Y Components
29:02 How to Find the Magnitude of the Resultant Vector (How to Add Vectors)
36:49 How to Find the Resultant Vector Angle (i.e. Direction)

Check out Chad's General Physics Master Course: https://courses.chadsprep.com/....courses/general-phys

Patreon: https://patreon.com/floatymonkey
Discord: https://floatymonkey.com/discord
Instagram: https://instagram.com/laurooyen

00:00 Coordinate Systems
01:23 Vectors
03:00 Notation
03:55 Scalar Operations
05:20 Vector Operations
06:55 Length of a Vector
08:40 Unit Vector
09:39 Dot Product
13:28 Cross Product

Mistakes in this video:
16.26 | sin 270° = -1, not 1

#math #vectors

This physics video tutorial provides a basic introduction into position vectors and how to use them to calculate the displacement vector.

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

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

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

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

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

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

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

_______________________________________
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:
https://www.video-tutor.net/physics-basic-introduction.html

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