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10 November, 08:21

A vector of length 20 is oriented at an angle of 120° from the positive x-axis. find the x and y coordinates of the end of the vector

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  1. 10 November, 08:38
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    Refer to the figure shown below.

    The reference angle is 180 - 120 = 60°.

    Note that in quadrant 2, sine is positive but cosine is negative.

    The x-component of the vector is

    -20*cos (60°) = - 10

    The y-component of the vector is

    20*sin (60°) = 17.32

    Answer: (-10, 17.32)
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