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22 June, 11:35

The components of vector a⃗ are ax = + 3.90 and ay = - 4.00. What is the angle measured counterclockwise from the + x-axis to vector a⃗?

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  1. 22 June, 14:14
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    The angle is the arctangent of the ratio of ay to ax. Since ay is negative and ax is positive, it is a 4th-quadrant angle.

    ... arctan (ay/ax) = arctan (-4.00/3.90) ≈ 314.27°

    ... about 5.48513 radians
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