Question: (a) Prove that a set of two perpendicular nonzero vectors from Rn is linearly independent when n > 1. (b) What if n = 1?

(a) Prove that a set of two perpendicular nonzero vectors from Rn is linearly independent when n > 1.
(b) What if n = 1? n = 0?
(c) Generalize to more than two vectors.

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