Question

Find the magnitude and direction angle of the vector v. (Round the direction angle to one decimal place.)

v = −10i + 16j

magnitude= sqrt356
I just need the direction angle

Answer 1

122°

Explanation:

The direction angle can be calculated as shown:

`\displaystyle \theta=\tan^(-1)\biggr((y)/(x)\biggr)=\tan^(-1)\biggr((16)/(-10)\biggr)\approx-58^\circ`

Since the vector is in Quadrant II, then we find that
`180^\circ-58^\circ=122^\circ` is the true direction angle.