Question: (a) Prove that ||u + v||2 + ||u - v||2 = 2||u||2 + 2||v||2 for all vectors u and v in Rn. (h) Draw a

(a) Prove that ||u + v||2 + ||u - v||2 = 2||u||2 + 2||v||2 for all vectors u and v in Rn.
(h) Draw a diagram showing u, v, u + v, and u - v in IR2 and use (a) to deduce a result about parallelograms.

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