If in the given figure overrightarrow{OA} = v | vedclass

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(B) Given that $P$ divides the line segment $AB$ in the ratio $m : n$.Using the section formula for vectors,the position vector of point $P$ with resp

Vedclass · Accepted Answer

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

Vedclass · Answer

(B) Given that $P$ divides the line segment $AB$ in the ratio $m : n$.Using the section formula for vectors,the position vector of point $P$ with respect to the origin $O$ is given by:$\overrightarrow{OP} = \frac{n\overrightarrow{OA} + m\overrightarrow{OB}}{m + n}$Substituting the given values $\overrightarrow{OA} = \vec{a}$ and $\overrightarrow{OB} = \vec{b}$:$\overrightarrow{OP} = \frac{n\vec{a} + m\vec{b}}{m + n}$Thus,the correct option is $(B)$.

If in the given figure $\overrightarrow{OA} = \vec{a}$,$\overrightarrow{OB} = \vec{b}$ and $AP : PB = m : n$,then $\overrightarrow{OP} = $

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