Video demonstrating that the area of a parallelogram created by graphing the column vectors of a 2x2 matrix is the equivalent to the absolute value of the determinant of the matrix. Pythagorean theorem, in conjunction with calculating a...

Video first explains what the Cauchy-Schwarz inequality is and then shows a proof of it. [16:55]

Video shows proofs of vector dot product properties. Proves vector dot products hold true under the commutative, distributive and associative properties. [10:45]

Video first reviews how to find the angle between two vectors, as well as restating the relationship between the cross product and the sine of that angle. Then gives an intuition of what the dot product and the cross product represent....

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....

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...

Video first reviews the Cauchy-Schwarz inequality. Then shows a proof of the triangle inequality for vectors and relates it to the triangle inequality from 2-dimensional geometry. [18:53]

Video starts with reviewing matrix notation. Defines multiplying a matrix by a vector and shows examples. Shows how the matrix-vector products can be interpreted as the dot product of column vectors with a matrix or as a weighted linear...

Video first reviews the Cauchy-Schwarz Inequality the shows a proof of the Vector Triangle Inequality and relates it to the Triangle Inequality from 2-dimensional Geometry. [18:53]

Thi videoreviews the Cauchy-Schwarz inequality and then shows a proof of the triangle inequality for vectors and relates it to the triangle inequality from 2-dimensional geometry.

Video first explains what the Cauchy-Schwarz Inequality is and then shows a proof of it. [16:55]

PVideo first explains what the Cauchy-Schwarz inequality is and then shows a proof of it.

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

Video shows proofs of vector dot product properties. Proves vector dot products hold true under the commutative, distributive and associative properties.

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....

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...

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.

This video will help with your understanding of the differences between dot and cross products. [10:48]

You will be introduced to the vector dot product in this video. [10:33]

Calculating the dot and cross products when vectors are presented in their x, y, and z (or i, j, and k) components. [9:46]

This video is an introduction to the vector dot product. [10:32]

Sal Khan helps you understand the differences between the dot and cross products.[10:45]

This lesson introduces the dot product of 3-vectors. It is 2 of 6 in the series titled "Dot Product of 3-Vectors."

This lesson introduces the dot product of 3-vectors. It is 3 of 6 in the series titled "Dot Product of 3-Vectors."