Answer
Magnitude: $6\sqrt 2$
Direction Angle: $315^{o}$
Work Step by Step
$\overrightarrow{v} = 6\widehat{i} - 6\widehat{j}$
Magnitude:
$||\overrightarrow{v}|| = \sqrt {6^{2} + 6^{2}} = \sqrt 72 = 6\sqrt 2$
Direction Angle:
$tan\theta = \frac{-6}{6} = -1$
$\theta = -45^{o}$
The angle is equivalent to:
$315^{o}$
