A vector starts at the point (0.0) and ends at (3,-3). What is the angle of the displacement? 4.24 18 45 degrees

Question

A vector starts at the point (0.0) and ends at (3,-3). What is the angle of the displacement?

4.24
18
45 degrees
90 degrees

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niczorrrr 4 years 2021-08-17T20:04:47+00:00 1 Answers 4 views 0

Answers ( )

  1. diemthu
    0
    2021-08-17T20:06:30+00:00
    Reply

    Answer:

    135degrees

    Explanation:

    Given that a vector starts at the point (0.0) and ends at (3,-3)

    y component value = -3

    x component value = 3

    angle of the displacement theta = arctan(y/x)

    theta = arctan(-3/3)

    theta = arctan (-1)

    theta = -45degrees

    Since tan is negative in the second quadrant

    theta = 180 – 45

    theta = 135degrees

    Hence the angle of the displacement is 135degrees

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