Prove the Theorem: (Section formula for external division) Let A(… - Vidyadip

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Prove the Theorem: (Section formula for external division) Let $\mathrm{A}(\bar{a})$ and $\mathrm{B}(\bar{b})$ be any two points in the space and $\mathrm{R}(\bar{r})$ be the third point on the line $\mathrm{AB}$ dividing the segment $\mathrm{AB}$ externally in the ratio $m: n$. Then $\bar{r}=\frac{m \bar{b}-n \bar{a}}{m-n}$.

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