Chapter 9.6, Problem 37AYU

In Problems 33-38, find $\Vert v\Vert$.

$v=-2i+3j-3k$

To determine

To find: $\left|\right|v\left|\right|$

Answer to Problem 37AYU

Solution:

$\sqrt{22}$

Explanation of Solution

Given:

$v = -2i + 3j - 3k$

Calculation:

$\begin{array}{lll}\left|\right|v\left|\right|\hfill & = \hfill & \sqrt{{(-2)}^2 + 3^2 + {(-3)}^2}\hfill \\ \left|\right|v\left|\right|\hfill & = \hfill & \sqrt{4-9 + 9}\hfill \\ \left|\right|v\left|\right|\hfill & = \hfill & \sqrt{22}\hfill \end{array}$