Question: (a) Prove that ||u + v|| = ||u - v|| if and only if u and v are orthogonal. (b) Draw a diagram showing u,

(a) Prove that ||u + v|| = ||u - v|| if and only if u and v are orthogonal.
(b) 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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