# How do you find the magnitude <-6,-11>?

$\sqrt{157} \cong 12.53$
Magnitude of a vector $\vec{x} = \left({x}_{1} , {x}_{2}\right)$ is denoted by $| | \vec{x} | |$ & is defined by,
$| | \vec{x} | | = \sqrt{{x}_{1}^{2} + {x}_{2}^{2}} .$
Hence, magnitude of vector $< - 6 , - 11 >$ is $\sqrt{{\left(- 6\right)}^{2} + {\left(- 11\right)}^{2}} = \sqrt{157} \cong 12.53$