Respuesta :

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].