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## Homework Statement

Let A and B be vectors

A = (2,-1,3) B = (1,4,1)

a) Find unit vectors A' and B' parallel to A and B respectively. Done.

b) Construct all the unit vectors C, orthogonal to A' and B'. Done.

c) Construct a unit vector, D, such that

C.D = 0.

Isn't there an infinite number of vectors that meet this criteria?