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Problem: Vector A is in the direction 34.0° clockwise from the −y-axis. The x-component of A is Ax = −16.0 m.(a) What is the y-component of A?(b) What is the magnitude of A?

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FREE Expert Solution

We're asked to determine the y-component and magnitude of a vector given its direction and x-component.

For any problems that ask us to relate the magnitude, angle, and components of a vector, there are two basic equations we'll use:

|A|=Ax2+Ay2 (1)

tanθ=AyAx (2)
where θ is the angle of the vector measured counterclockwise from the +x-axis. (Counterclockwise is the standard positive direction for angles.)

It's also a good idea to sketch the problem so you can more easily visualize it.

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Problem Details

Vector A is in the direction 34.0° clockwise from the −y-axis. The x-component of A is Ax = −16.0 m.
(a) What is the y-component of A?
(b) What is the magnitude of A?

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