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

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