Is It Possible to Align Points on Two Circles with a Given Vector?

[furnis1]

Homework Statement

I'm having difficulty on this problem:

"Two circles A, B ad a vector k are given. Determine points P on A and Q on B so that PQ is equal and parallel to k.
ii) describe the situation where this is impossible"

any body out there a master on circles, greatly appreciated!

Homework Equations

The Attempt at a Solution

 

[Defennder]

Well it seems a lot of information such as the radii of the circles, relative position of the centre of the circles, as well as the vector k are not given.