The position vector OP of point P (20, 10) is rotated anti-clockwise in X-Y plane by an angle q = 30° such that point P occupies position

Q. The position vector OP of point P (20, 10) is rotated anti-clockwise in X-Y plane by an angle q = 30° such that point P occupies position Q, as shown in the figure. The coordinates (x, y) of Q are

Ans: (12.32, 18.66)

Sol:

Let Co-ordinates of Q are (x’, y’) and rotation about x-y plane anti clockwise.