A displacement vector has a magnitude of 810 m and points at an angle of 18° above the positive x axis. What are the x and y scalar components of this vector? x scalar component y scalar component
A)770 m 250 m
B)560 m 585 m
C)585 m 560 m
D)250 m 750 m
E)713 m 385 m

Question

Quizplus · Accepted Answer

The x component is the magnitude times the cosine of the angle, and the y component is the magnitude times the sine of the angle. So, the x component is 810 m * cos(18°) = 770 m, and the y component is 810 m * sin(18°) = 250 m.

A Displacement Vector Has a Magnitude of 810 M and Points