Question: How can I solve this problem completely by proving both sides? Let V be an n-dimensional vector space with inner product ( , ), and

How can I solve this problem completely by proving both sides?

Let V be an n-dimensional vector space with inner product ( , ), and let W be a subspace of V. Prove that for all 6' E V, we have that '5" E W if and only if projWW) = 17

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