CPM Homework Help : PC Problem 11-30

Given vectors $\textbf{u} =\langle - 3,2 \rangle$ , $\textbf{v} = \langle 4,1 \rangle$ , and $\textbf{w} = 2\textbf{u} − \textbf{v}$ , find $\|\textbf{w}\|$ .

Step:

$\textbf{w} = 2\left\langle -3,2 \right\rangle -\left\langle 4,1 \right\rangle$

Hint:

Once you find vector w, sketch it and use the Pythagorean theorem to find its length, or $\|\textbf{w}\|$ .