Respuesta :
The required direction angle of v is 113°. Option C is correct.
v = ⟨-5, 12⟩
Direction angle for v to be determine.
What are direction angle?
Direction angle define as the vector projected direction.
Here,
Direction angle,
[tex]\alpha =tan^{-1}\frac{12}{-5}\\\alpha = -67.38[/tex]
Now,
[tex]\theta = 180 + \alpha \\\theta = 180+(-67.38)\\\theta = 113[/tex]
Thus, the required direction angle of v is 113°.
Learn more about direction angle here:
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