# How do you find the length and direction of vector 2 - 4i?

Length of the vector $2 - 4 i$

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

$= 2 \setminus \sqrt{5}$

And the angle $\setminus \theta$ in CCW with the positive x-axis

$\setminus \theta = - \setminus {\tan}^{- 1} | - \frac{4}{2} |$

$= - \setminus {\tan}^{- 1} \left(2\right)$

$= - {63.435}^{\setminus} \circ$