Exercise 1.2.3

Answers

Unit vectors

\frac{v}{∥ v ∥} = (\frac{4}{5}, \frac{3}{5}) = (0.8, 0.6) .

The vectors $w, (2, - 1)$ , and $- w$ make $0^{∘}, 9 0^{∘}, 18 0^{∘}$ angles with $w$ and

\frac{w}{∥ w ∥} = (1 ∕ \sqrt{5}, 2 ∕ \sqrt{5}) .

The cosine of $𝜃$ is

\frac{v}{∥ v ∥} \cdot \frac{w}{∥ w ∥} = 10 ∕ 5 \sqrt{5} .

mathchakra

2021-11-20 14:00