3Blue1Brown
Linear Combinations, Span, and Basis Vectors | Essence of Linear Algebra, Chapter 2
What does it mean for two vectors to be linearly independent? The resource presents the basics of basis vectors and linear combinations. The third video in the 15-part series provides a definition of linear independence in terms of the...
Corbett Maths
Vectors
Come in on a vector. A video introduces vector notation and basic definitions. Given a shortened version of representing the vector, the presenter shows how to add vectors algebraically. Using parallelograms and trapezoids, the resource...
3Blue1Brown
Vectors, What Even Are They? | Essence of Linear Algebra, Chapter 1
Take a look at vectors as geometric objects and then as an algebraic concept. The second video in a series of 15 introduces the vector using three perspectives: the physics, computer science, and mathematical. The resource shows the...
Khan Academy
Khan Academy: Linear Algebra: Defining the Angle Between Vectors
Video uses the vector triangle inequality and the law of cosines to demonstrate and prove the definition of the angle between vectors. Uses the definition of the angle between vectors to define perpendicular vectors. Shows that the dot...
Khan Academy
Khan Academy: Linear Algebra: Cross Product Introduction
Video explains the vector cross product and gives examples of finding it. Also discusses the usefulness and limitations of vector cross products and the differences from the dot product. [15:47]
Khan Academy
Khan Academy: Linear Algebra: Dot and Cross Product Comparison/intuition
Video gives an intuition of what dot product and cross product represent. Also gives a comparison between cross product and dot product of vectors and how they are related. Shows which angles maximize the cross product and dot product....
Khan Academy
Khan Academy: Linear Algebra: Vector Dot Product and Vector Length
Video first reviews vector addition and multiplying by a scalar multiple. Gives notation for dot product and shows example of calculating the dot product of vectors. Then gives the formula for vector length and gives examples of using...
Khan Academy
Khan Academy: Linear Algebra: Vector Examples
Video gives examples of vector addition, graphing vectors, multiplying vectors by a scalar and vector subtraction using vectors in R2 and extends to vectors in other dimensions. [25:33]
Khan Academy
Khan Academy: Linear Algebra: Defining the Angle Between Vectors
Video shows using the vector triangle inequality and the law of cosines to demonstrate and prove the definition of the angle between vectors. Uses the definition of the angle between vectors to define perpendicular vectors. Shows that...
Khan Academy
Khan Academy: Linear Algebra: Cross Product Introduction
Video explains the vector cross product and gives examples of finding it. Also discusses the usefulness and limitations of vector cross products and its differences from the dot product. [15:47]
Khan Academy
Khan Academy: Vector Dot and Cross Products: Cross Product Introduction
This video ha an introduction to the cross productand gives examples of finding it.
Khan Academy
Khan Academy: Linear Algebra: Dot and Cross Product Comparison/intuition
Video gives an intuition of what dot product and cross product represent. Also gives a comparison between cross product and dot product of vectors and how they are related. Shows which angles maximize the cross product and dot product....
Khan Academy
Khan Academy: Dot and Cross Product Comparison/intuition
This video gives an intuition of what dot product and cross product represent. Also gives a comparison between cross product and dot product of vectors and how they are related.
Khan Academy
Khan Academy: Linear Algebra: Vector Dot Product and Vector Length
Video first reviews vector addition and multiplying by a scalar multiple. Gives notation for dot product and shows example of calculating the dot product of vectors. Then gives the formula for vector length and gives examples of using...
Khan Academy
Khan Academy: Vector Dot Product and Vector Length
Definitions of the vector dot product and vector lengthVideo first reviews vector addition and multiplying by a scalar multiple. Gives notation for dot product and shows example of calculating the dot product of vectors.
Khan Academy
Khan Academy: Electricity & Magnetism: Dot & Cross Products
Calculating the dot and cross products when vectors are presented in their x, y, and z (or i, j, and k) components. [9:47]
Sophia Learning
Sophia: Introduction to Vectors & Scalars
Learn about vectors and scalars in physics, and find out how they are related to distance and displacement. [5:19]
Khan Academy
Khan Academy: Linear Transformation Examples: Unit Vectors
What unit vectors are and how to construct them.
PatrickJMT
Patrick Jmt: An Introduction to Vectors Part 1
Tutorial provides an introduction to vectors including magnitude, direction, length, and component form. [4:45]
Khan Academy
Khan Academy: (Correction) Scalar Multiplication of Row
Correction of last video showing that the determinant when one row is multiplied by a scalar is equal to the scalar times the determinant.
Khan Academy
Khan Academy: Analyzing Scalar Multiplication
Sal analyzes the magnitude and direction of vectors that are a result of scalar multiplication of a vector whose magnitude is given.
Sophia Learning
Sophia: Introduction to Vectors & Scalars: Lesson 2
This lesson introduces the concepts of vectors and scalars and explains how they are related to distance and displacement. It is 2 of 3 in the series titled "Introduction to Vectors & Scalars."
Sophia Learning
Sophia: Multiplying Vectors by a Scalar: Lesson 2
This lesson demonstrates scalar multiplication with vectors. It is 2 of 7 in the series titled "Multiplying Vectors by a Scalar."
Sophia Learning
Sophia: Multiplying Vectors by a Scalar: Lesson 3
This lesson demonstrates scalar multiplication with vectors. It is 3 of 7 in the series titled "Multiplying Vectors by a Scalar."