### Home > PC > Chapter 11 > Lesson 11.1.2 > Problem11-30

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 $\|\textbf{w}\|$.

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

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