External section formula in vector form for JEE

Formula

\(\overrightarrow{OP}=\dfrac{m\overrightarrow{OB}-n\overrightarrow{OA}}{m-n}\)

Variables: \(P\) divides \(AB\) externally in the ratio \(AP:PB=m:n\); \(O\) is the origin.

Conditions: \(m\neq n\).

External division of a line segment in vector form.