Definition of distance, coordinate setting

math.la.d.distance.coord


Quiz from the University of Waterloo. This is intended to be used after the video of the same name.


Inner product of two vectors in R^n, length of a vector in R^n, orthogonality. Motivation via approximate solutions of systems of linear equations, definition and properties of inner product (symmetric, bilinar, positive definite); length/norm of a vector, unit vectors; definition of distance between vectors; definition of orthogonality; Pythagorean Theorem.