Question

Difference betweel basis and orthonormal basis

Answer 1

Orthonormal set is not necessarily a basis, that is, the span of the Orthonormal set need not be the entire space.

Answer 2

We say that B = { u → , v → } is an orthogonal basis if the vectors that form it are perpendicular. We say that B = { u → , v → } is an orthonormal basis if the vectors that form it are perpendicular and they have length .