# What is || <-9, 3, 3 > - < 9, -2, 1 > ||?

Apr 4, 2017

$\sqrt{353}$

#### Explanation:

$| | \left\langle- 9 , 3 , 3\right\rangle - \left\langle9 , - 2 , 1\right\rangle | |$
$\text{ } = | | \left\langle- 9 - 9 , 3 - \left(- 2\right) , 3 - 1\right\rangle | |$
$\text{ } = | | \left\langle- 18 , 5 , 2\right\rangle | |$
$\text{ } = \sqrt{\left\langle- 18 , 5 , 2\right\rangle \cdot \left\langle- 18 , 5 , 2\right\rangle}$
$\text{ } = \sqrt{- {18}^{2} + {5}^{2} + {2}^{2}}$
$\text{ } = \sqrt{324 + 25 + 4}$
$\text{ } = \sqrt{353}$