What point divides the join of $P(2, -1, 3)$ and $Q(6, 3, -5)$ internally in the ratio 3 : 1?

Explanation

1. 01

   $\frac{m\vec{q} + n\vec{p}}{m + n}$ with $m = 3$ towards $Q$ and $n = 1$ towards $P$.

2. 02

   $\frac{3(6, 3, -5) + (2, -1, 3)}{4} = (5, 2, -3)$.