Question

4. Vectors The angle of the vector could be given measured from either axis (and not necessarily fr positive x or y axis). How you break the vector into its components depends on where an angle i measured from. Suppose that we know the angle of the vector A relative to the y-axis, as shown (where the angle is now labeled as p). Ax Ay 4.11. When the angle (p)is measured from the y-axis, as above, what are Ax and Ay in terms of magnitude of A and the angle ф?

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Answer #1

Considering the vector diagram drawn at the right side abive

As per simple trigonometric ratio

Cos (phi)= Ay/A

Ay= A cos (phi)

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Similarly

Sin (phi)= Ax/A

Ax= A sin (phi)

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Comment in case any doubt. Good luck

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