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

Answer 1

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