Question

let $u = \langle5, - 12\
angle$ and $c=-3$. what is $\\|cu\\|$? 51 39 21 - 39

Explanation:

Step1: Calculate $cu$

First, find the vector $cu$. Given $u=\langle5, - 12
angle$ and $c=-3$, then $cu=-3\langle5, - 12
angle=\langle-3\times5,-3\times(-12)
angle=\langle - 15,36
angle$.

Step2: Calculate the magnitude of $cu$

The magnitude of a two - dimensional vector $\vec{v}=\langle x,y
angle$ is given by $\|\vec{v}\|=\sqrt{x^{2}+y^{2}}$. For $\vec{v} = cu=\langle - 15,36
angle$, we have $\|cu\|=\sqrt{(-15)^{2}+36^{2}}=\sqrt{225 + 1296}=\sqrt{1521}=39$.

Answer:

39