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Exercise 1.2.28

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The vectors $w = (x, y)$ with $(1, 2) \cdot w = x + 2 y = 5$ lie on a line in the $xy$ plane. The shortest $w$ on that line is $(1, 2)$ . (The Schwarz inequality $∥ w ∥ \geq v \cdot w ∕ ∥ v ∥ = \sqrt{5}$ is an equality when $\cos 𝜃 = 0$ and $w = (1, 2)$ and $∥ w ∥ = \sqrt{5}$ .)

mathchakra

2021-11-20 14:09

Exercise 1.2.28

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