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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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sqdancefan

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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