Chapter 9.6, Problem 33AYU

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

$v=3i-6j-2k$

To determine

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

Answer to Problem 33AYU

Solution:

$7$

Explanation of Solution

Given:

$v=3i-6j-2k$

Calculation:

$\begin{array}{lll}\left|\right|v\left|\right|\hfill & =\hfill & \sqrt{3^2 + {(-6)}^2 + {(-2)}^2}\hfill \\ \left|\right|v\left|\right|\hfill & =\hfill & \sqrt{9 + 36 + 4}\hfill \\ \left|\right|v\left|\right|\hfill & =\hfill & \sqrt{49}\hfill \\ \left|\right|v\left|\right|\hfill & =\hfill & 7\hfill \end{array}$