Question: In Exercises 1-3, (u, v) is an inner product. In Exercises 31 -34, prove that the given statement is an identity. 1. (u + v,

In Exercises 1-3, (u, v) is an inner product. In Exercises 31 -34, prove that the given statement is an identity.
1. (u + v, u - v) = ||u||2 - ||v||2
2. ||u + v||2 = ||u||2 + 2(u, v) + ||v||2
3. ||u||2 + ||v||2 = 1/2 ||u + v||2 + 1/2 ||u - v||2

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