Position Vector R that Divides PQ in the Ratio of 2 to 3

Q12. Give coordinates of points A(2, -1, 2) and B(2, -2, 5).
Find position vector of the point P which divides the segment AB in the ratio of 1:2.
Position Vectors
Q1. Position vector P is 2i + 3j, and the position vector Q is 5i – 7j.
a. Find PQ.
b. The point R lies on PQ such that (PR) ⃗=2/5 (PQ) ⃗. Find position vector R.