Instructional Video
Khan Academy

Khan Academy: Linear Algebra: Proof of the Cauchy Schwarz Inequality

9th - 10th
Video first explains what the Cauchy-Schwarz Inequality is and then shows a proof of it. [16:55]
Instructional Video
Khan Academy

Khan Academy: Proof of the Cauchy Schwarz Inequality

9th - 10th
PVideo first explains what the Cauchy-Schwarz inequality is and then shows a proof of it.
Instructional Video
Khan Academy

Khan Academy: Linear Algebra: Proving Vector Dot Product Properties

9th - 10th
Video shows proofs of vector dot product properties. Proves vector dot products hold true under the commutative, distributive property, and associative properties. [10:45]
Instructional Video
Khan Academy

Khan Academy: Proving Vector Dot Product Properties

9th - 10th
Video shows proofs of vector dot product properties. Proves vector dot products hold true under the commutative, distributive and associative properties.
Instructional Video
Khan Academy

Khan Academy: Linear Algebra: Dot and Cross Product Comparison/intuition

9th - 10th Standards
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....
Instructional Video
Khan Academy

Khan Academy: Linear Algebra: Vector Dot Product and Vector Length

9th - 10th Standards
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...
Instructional Video
Khan Academy

Khan Academy: Vector Dot Product and Vector Length

9th - 10th Standards
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.
Instructional Video
Khan Academy

Khan Academy: Electricity and Magnetism: Dot vs. Cross Product

9th - 10th
This video will help with your understanding of the differences between dot and cross products. [10:48]
Instructional Video
Khan Academy

Khan Academy: Electricity and Magnetism: The Dot Product

9th - 10th
You will be introduced to the vector dot product in this video. [10:33]
Instructional Video
Khan Academy

Khan Academy: Calculating Dot and Cross Products With Unit Vector Notation

11th - 12th Standards
Calculating the dot and cross products when vectors are presented in their x, y, and z (or i, j, and k) components. [9:46]
Instructional Video
Khan Academy

Khan Academy: The Dot Product

9th - 10th
This video is an introduction to the vector dot product. [10:32]
Instructional Video
Khan Academy

Khan Academy: Dot vs. Cross Product

9th - 10th
Sal Khan helps you understand the differences between the dot and cross products.[10:45]
Instructional Video
Sophia Learning

Sophia: Dot Product of 3 Vectors: Lesson 2

9th - 10th
This lesson introduces the dot product of 3-vectors. It is 2 of 6 in the series titled "Dot Product of 3-Vectors."
Instructional Video
Sophia Learning

Sophia: Dot Product of 3 Vectors: Lesson 3

9th - 10th
This lesson introduces the dot product of 3-vectors. It is 3 of 6 in the series titled "Dot Product of 3-Vectors."
Instructional Video
Sophia Learning

Sophia: Dot Product Properties: Lesson 2

9th - 10th
This lesson introduces algebraic properties of the dot product. It is 2 of 6 in the series titled "Dot Product Properties."
Instructional Video
Sophia Learning

Sophia: Dot Product Properties: Lesson 3

9th - 10th
This lesson introduces algebraic properties of the dot product. It is 3 of 6 in the series titled "Dot Product Properties."
Instructional Video
Sophia Learning

Sophia: Dot Product Properties: Lesson 4

9th - 10th
This lesson introduces algebraic properties of the dot product. It is 4 of 6 in the series titled "Dot Product Properties."
Instructional Video
Sophia Learning

Sophia: Dot Product Properties: Lesson 6

9th - 10th
This lesson introduces algebraic properties of the dot product. It is 6 of 6 in the series titled "Dot Product Properties."
Instructional Video
Sophia Learning

Sophia: Dot Products: Lesson 2

9th - 10th
This lesson introduces the concept of a dot product and its relationship to matrix operations. It is 2 of 6 in the series titled "Dot Products."
Instructional Video
Sophia Learning

Sophia: Finding the Dot Product: Lesson 2

9th - 10th
This lesson goes over the steps for finding the dot product of a matrix. It is 2 of 7 in the series titled "Finding the Dot Product."
Instructional Video
Sophia Learning

Sophia: Finding the Dot Product: Lesson 3

9th - 10th
This lesson goes over the steps for finding the dot product of a matrix. It is 3 of 7 in the series titled "Finding the Dot Product."
Instructional Video
Sophia Learning

Sophia: Finding the Dot Product: Lesson 5

9th - 10th
This lesson goes over the steps for finding the dot product of a matrix. It is 5 of 7 in the series titled "Finding the Dot Product."
Instructional Video
Sophia Learning

Sophia: Finding the Dot Product: Lesson 6

9th - 10th
This lesson goes over the steps for finding the dot product of a matrix. It is 6 of 7 in the series titled "Finding the Dot Product."
Instructional Video
Sophia Learning

Sophia: Finding the Dot Product: Lesson 1

9th - 10th
This lesson goes over the steps for finding the dot product of a matrix. It is 1 of 7 in the series titled "Finding the Dot Product."