I have 2 coordinate systems, Q and U

I have a point, p, that I have the coordinates for in each system ie I have (Qpx, Qpy) and (Upx, Upy).

I also have the angle between Qx-axis and Ux-axis, theta.

Do I have enough information to calculate the Q-coordinates of the origin of U?

If so how do I go about this? If not what else do I need?

I should add that I'm interested in following cases if they are different:

1) the length of the unit basis vectors e_{Q}and e_{U }are equal

2) the length of the unit basis vectors e_{Q}and e_{U }are not equal

Apologies if posted the wrong sub forum.