Let v = ⟨-5, 12⟩. What is the approximate direction angle of v? 23°
67°
113°
157°

C) 113°

Step-by-step explanation:

The direction angle for a position vector is plus a correction based on the quadrant (more on that later).

Hence:

We are not done here, however, as we need to account for which quadrant the vector is located in. Since v=⟨-5, 12⟩ is located in Quadrant II, then the direction angle must also be in Quadrant II.

Therefore, we use the formula to account for this:

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