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Find the direction angle of the vector v = -5i - 8j. That is, find the angle between 0 degree and 360 degree that v makes with the positive x-axis (measured counterclockwise), when v is in standard position.Do not round any Intermediate computations, and round your answer to the nearest whole number.

Respuesta :

To calculate this angle theta we use the arctan function. But this function only gives the value between

[tex]-\frac{\pi}{2}<\theta<\frac{\pi}{2}[/tex]

Then

[tex]\theta=180+\tan ^{-1}\frac{-8}{-5}=237.9946167919165[/tex]

So, the angle is 238°.

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