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

Introduction to Vectors:
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.

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