a regular hexagon OPQRST has its vertices at O ( the origin) and points P,Q,R, S,T with position vector p,q,r,s,t respectively. The point U with position vector u is the midpoint of the line segment OP, and SU meets OR at the point V

please see attached diagram

I need to show that the position vector r=2(p+t) and write down the position vector u and s, in terms of p and t.