Exercise 1.2.8

Answers

(a) False: $v$ and $w$ are any vectors in the plane perpendicular to $u$ .

(b) True: $u$ . $(v + 2 w) = u \cdot v + 2 u \cdot w = 0$ .

(c) True, $∥ u - v ∥^{2} = (u - v) \cdot (u - v)$ splits into $u \cdot u + v \cdot v = 2$ when $u \cdot v = v \cdot u = 0$

mathchakra

2021-11-20 14:03