Respuesta :
The direction angle of v is 34°. Therefore, option A is the correct answer.
Given that, v = (3,-2).
What is the formula to find the direction angle?
The direction of a vector formula is related to the slope of a line. We know that the slope of a line that passes through the origin and a point (x, y) is y/x. We also know that if θ is the angle made by this line, then its slope is tanθ, i.e., tanθ = y/x.
Now, tan θ = -2/3
⇒θ=[tex]tan^{-1}[/tex](-2/3)
⇒θ=33.64≈34°
Therefore, option A is the correct answer.
To learn more about the direction angle of a vector visit:
https://brainly.com/question/12897712.
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