Orthogonal Set

A Set of Vectors are an orthogonal set of vectors if every pair in the set is Orthogonal to every other vector in the set.

Linear Independence for Orthogonal Sets

If there is an orthogonal set of vectors , then

is Linearly Indepedent

Expansion in Orthogonal Basis

If is the Basis for Subspace in and is an orthogonal basis, then for any vector