External Section Formula

Rarely Tested

External Section Formula

If $$p$$ divides the line joining position vectors $$\vec a$$ and $$\vec b$$ externally in the ratio:

$$AP:PB=m:n$$

then:

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

Usage

- Used when the dividing point lies outside the line segment.

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