Question: Prove: For arbitrary vectors u and v, (a) |u + v| 2 + |u - v| 2 = 2|u| 2 + 2|v| 2 ; (b)

Prove: For arbitrary vectors u and v,

(a) |u + v|2 + |u - v|2 = 2|u|2 + 2|v|2;

(b) |u + v|2 - |u - v|2 = 4u . v.

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