Vector a has magnitude of 16.3 and is 275° counter-clockwise up from the x-axis. what are the x - and y-components of the vector?

Question

Tucker

Mathematics

29 January, 23:57

Vector a has magnitude of 16.3 and is 275° counter-clockwise up from the x-axis. what are the x - and y-components of the vector?

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Answers (1)

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Yaretzi Quinn · Answer 1

Refer to the figure below.

The reference angle is 360 - 275 = 85°.

Note that cosine is positive but sine is negative in the 4th quadrant.

Therefore,

the x-component of the vector is

16.3 cos (85°) = 1.4206

the y-component of the vector is

-16.3 sin (85°) = - 16.238

Answer: (1.42, - 16.24)