Chapter 9.6, Problem 35AYU

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

$v=i-j+k$

To determine

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

Answer to Problem 35AYU

Solution:

$\sqrt{3}$

Explanation of Solution

Given:

$v = i - j + k$

Calculation:

$\begin{array}{lll}\left|\right|v\left|\right|\hfill & = \hfill & \sqrt{1^2 + {(-1)}^2 + 1^2}\hfill \\ \left|\right|v\left|\right|\hfill & = \hfill & \sqrt{1 + 1 + 1}\hfill \\ \left|\right|v\left|\right|\hfill & = \hfill & \sqrt{3}\hfill \end{array}$