# What is || <-1, -2, 7 > - <3, 2 , -3 > ||?

Mar 6, 2018

The answer is $= \sqrt{132}$

#### Explanation:

This is the calculation of the magnitude of the sum of $2$ vectors.

Therefore,

$| | < - 1 , - 2 , 7 > - < 3 , 2 , - 3 > | |$

$= | | < - 1 - 3 , - 2 - 2 , 7 + 3 > | |$

$= | | < - 4 , - 4 , 10 > | |$

$= \sqrt{{\left(- 4\right)}^{2} + {\left(- 4\right)}^{2} + {\left(10\right)}^{2}}$

$= \sqrt{16 + 16 + 100}$

$= \sqrt{132}$

$= 11.49$