Section formula in vector form for JEE

Formula

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

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

Conditions: \(m,n>0\) for internal division, \(m+n\neq 0\).

Finding position vector of a point dividing a line segment.