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

Video lesson about how orthogonal matrices preserve lengths and angles of vectors when multiplied. Preservation of lengths is shown by manipulating the length of the square of an orthogonal matrix times a vector and preservation of...

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 first introduces what a unit vector is. Shows how to construct a unit vector using scalars. Shows notation for unit vectors. [6:59]

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]

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

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...

This is a video showing that orthogonal matrices preserve angles and lengths.

Video first introduces what a unit vector is. Shows how to construct a unit vector using scalars. Shows notation for unit vectors. [6:59]