Answer:
[tex]\theta=71.07^{\circ}[/tex]
Step-by-step explanation:
The given vector is :
v = -12i - 35j
We need to find the angle direction of v.
The general vector is given by :
v = xi+yj
The direction angle is :
[tex]\theta=\tan^{-1}(\dfrac{y}{x})[/tex]
We have, x = -12 and y = -35
So,
[tex]\theta=\tan^{-1}(\dfrac{-35}{-12})\\\\\theta=71.07^{\circ}[/tex]
So, the required direction angle is [tex]71.07^{\circ}[/tex].