Question: Let v and w be vectors in an inner product space V. Show that: (a) v is orthogonal to w if and only if ||v

Let v and w be vectors in an inner product space V. Show that:
(a) v is orthogonal to w if and only if ||v + w|| = ||v-w||.
(b) v + w and v - w are orthogonal if and only if ||v|| - ||w||.

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