Question

Find the position vector of a point R which divides the line joining two points P and Q whose position vectors are (2a + b) and \((\vec{a} - 3\vec{b})\) externally in the ratio 1:2. Also, show that P is the mid point of the line segment RQ.

Answer 1

∴ p.v. of R \((3\vec{a} + 5\vec{b})\)