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10 July, 22:04

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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  1. 10 July, 23:30
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    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)
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