What is || <-8, 5, 1> - < 4 , -7, 9 > ||?

Feb 13, 2016

$< - \frac{12}{\sqrt{352}} i , \frac{12}{\sqrt{352}} j , - \frac{8}{\sqrt{352}} k >$

Explanation:

$< \left(- 8 - 4\right) , \left(5 - \left(- 7\right)\right) , \left(1 - 9\right) >$
$< - 12 , 12 , - 8 >$
$\vec{r} = \sqrt{{\left(- 12\right)}^{2} + {12}^{2} + {\left(- 8\right)}^{2}}$
$\vec{r} = \sqrt{144 + 144 + 64}$
$\vec{r} = \sqrt{352}$
$\overline{i} = - \frac{12}{\sqrt{352}}$
$\overline{j} = \frac{12}{\sqrt{352}}$
$\overline{k} = - \frac{8}{\sqrt{352}}$
$< - \frac{12}{\sqrt{352}} i , \frac{12}{\sqrt{352}} j , - \frac{8}{\sqrt{352}} k >$