Resolve the given vector into its xcomponent and ycomponent

Resolve the given vector into its x-component and y-component. The given angle 0 is measured counterclockwise from the positive x-axis (in standard position) ***Magnitude 2.47 mN, 0=251.69

Solution

X component = magnitude*cos(angle)

= 2.47*cos(251.69)

= -0.776mN

Y component = magnitude*sin(angle)

= 2.47*sin251.69

= -2.344 mN

The vector lies in IIrd quadarant , so the componenet are along -ve x axis and -y axis.