Section Formula in Vector Form

Section Formula in Vector Form

If point $$p$$ divides the line joining points with position vectors $$\vec a$$ and $$\vec b$$ internally in the ratio:

$$AP:PB=m:n$$

then:

$$\vec p=\frac{n\vec a+m\vec b}{m+n}$$

Usage

- Used to find the position vector of a point dividing a line segment internally.