Question

What is the difference between orthonormal basis and orthogonal basis?

Answer 1

A set of vectors is orthonormal if the set isorthogonal and the inner product of every vector in the set with itself is 1.Orthonormal is basically a shorter way ofsaying "orthogonal and every vector in theset is a unit vector". ... Orthonormal means they are orthogonal and normalized (i.e. length == 1).

Answer 2

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

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