Dot Product and Cross Product Lesson

This is a video from the University of Waterloo. Dot Product, Cross-Product in R^n (which should be in Chapter 8 section 4 about hyperplanes.

Definition of norm/length of a vector, coordinate setting math.la.d.vec.norm.coord
Definition of inner product, real entries, coordinate setting math.la.d.innerproduct.real.coord
The standard inner product is commutative, coordinate setting. math.la.t.innerproduct.commutative.coord
The standard inner product distributes over addition, coordinate setting. math.la.t.innerproduct.distributive.coord
The standard inner product commutes with real scalar multiplication, coordinate setting. math.la.t.innerproduct.commutative.scalar.real.coord
The standard inner product of a vector with itself is zero only for the zero vector, coordinate setting. math.la.t.innerproduct.self.z.coord
Definition of a vector being orthogonal to a subspace math.la.d.vec.subspace.orthogonal
Definition of two vectors being orthogonal math.la.d.vec.orthogonal
Definition of unit vector, coordinate setting math.la.d.vec.unit.coord
Definition of cross product math.la.d.crossproduct