In 3D, three Vectors u, v, and w form an Orthonormal Basis if...?

In 3D, three Vectors u, v, and w form an Orthonormal Basis if...?



They are Orthogonal (at right angles)

They are each of unit length.

So ||u|| = ||v|| = ||w|| = 1

and

u · v = v · w = w · u = 0

The Orthonormal Basis is Right Handed provided:

w = u x v otherwise it is left-handed.

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