When are vectors orthogonal?

Two vectors u and v are orthogonal if $ u*v=0 $, where u*v denotes the inner product of the two vectors. They are orthonormal if they both are also unit vectors ($ u*u=1 $ and $ v*v=1 $)

Note that the zero vector is orthogonal to every vector.


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Basic linear algebra uncovers and clarifies very important geometry and algebra.

Dr. Paul Garrett