Question

a displacement vector of magnitude 4 make an angle 30° with the x axis. its rectangular components in xy plane are

Answer 1

x component is 4cos30 and y component is 4sin30

Answer 2

When a vector is divided into a horizontal and vertical Components it is named as rectangular components because they are at an angle of 90 degrees or are perpendicular to each other.

The components are taken in the form of x axis and y axis.

The magnitude of vector given here is 4 hence the X component for 4 will be 4 cos theta and Y component for 4 will be 4 sin theta where theta is equal to 30 degrees  

So,

X = 4cos θ

Y = 4 sin θ