# What is || <-1, -9, -2 > - < -2 , -4, 1 > ||?

Nov 5, 2016

The answer $= \sqrt{35}$

#### Explanation:

First, we start by subtracting the vectors
∥〈-1,-9,-2〉-〈-2,-4,1〉∥=∥〈-1+2,-9+4,-2-1〉∥
=∥〈1,-5,-3〉∥
Then we calculate the modulus
$= \sqrt{1 + 25 + 9}$
$= \sqrt{35}$