![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](https://www.gkseries.com/blog/wp-content/uploads/2023/08/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-.jpg)
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
![](https://www.gkseries.com/blog/wp-content/uploads/2023/08/Screenshot-647.png)
Ans: (12.32, 18.66)
Sol:
Let Co-ordinates of Q are (x’, y’) and rotation about x-y plane anti clockwise.
![](https://www.gkseries.com/blog/wp-content/uploads/2023/08/Screenshot-648.png)