Exercise 6.A.8

Answers

Proof. We have

⟨ u - v, u - v ⟩ = ⟨ u, u ⟩ - ⟨ u, v ⟩ - ⟨ v, u ⟩ + ⟨ v, v ⟩ = 1 - 1 - 1 + 1 = 0

Thus $u - v = 0$ , which implies that $u = v$ . □

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2017-10-06 00:00