# What is || <-1, 4, 2 > - < -2 , -7, 3 > ||?

Jul 18, 2016

#### Answer:

$\sqrt{123}$ units.

#### Explanation:

The problem is asking for the magnitude of the subtraction of 2 vectors.

$\left(- 1 , 4 , 2\right) - \left(- 2 , - 7 , 3\right) = \left(1 , 11 , - 1\right)$

Magnitude of the resulting vector is $\sqrt{{1}^{2} + {11}^{2} + {1}^{2}} = \sqrt{123}$