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?

Question

Baylee Burke

Mathematics

5 August, 17:57

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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Shawn · Answer 1

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