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Exercise 6.A.14

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Proof. The Cauchy-Schwarz Inequality ensures $\frac{⟨ x, y ⟩}{| | x | | | | y | |}$ is always a number between $- 1$ and $1$ . Moreover it only equals $1$ or $- 1$ if one of $x, y$ is a scalar multiple of the other, that is, when the angle is $0$ or $π$ . □

celiopassos

2017-10-06 00:00

Exercise 6.A.14

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