# Given u=(2,5) v=(-2,1), how do you find |u-v|?

Sep 25, 2016

Subtract the x of component of v from the x component of u, do the same for the y components, then compute the magnitude of the resulting vector.

#### Explanation:

$u - v = \left(2 - - 2 , 5 - 1\right)$

$u - v = \left(4 , 4\right)$

$| u - v | = \sqrt{{4}^{2} + {4}^{2}}$

$| u - v | = \sqrt{32}$