If in the given figure \[\overrightarrow{OA}=\mathbf{a},\,\,\,\overrightarrow{OB}=\mathbf{b}\] and \[AP\,\,:\,\,PB=m\,\,:\,\,n,\] then \[\overrightarrow{OP}=\] [RPET 1981; MP PET 1988]

\[m\,\mathbf{a}-n\,\mathbf{b}\]

\[\frac{m\,\mathbf{a}+n\,\mathbf{b}}{m+n}\]

\[\frac{n\,\mathbf{a}+m\,\mathbf{b}}{m+n}\]

\[\frac{m\,\mathbf{a}-n\,\mathbf{b}}{m-n}\]

If in the given figure \[\overrightarrow{OA}=\mathbf{a},\,\,\,\overrig

1.	If in the given figure \[\overrightarrow{OA}=\mathbf{a},\,\,\,\overrightarrow{OB}=\mathbf{b}\] and \[AP\,\,:\,\,PB=m\,\,:\,\,n,\] then \[\overrightarrow{OP}=\] [RPET 1981; MP PET 1988]
A.	\[\frac{m\,\mathbf{a}+n\,\mathbf{b}}{m+n}\]
B.	\[\frac{n\,\mathbf{a}+m\,\mathbf{b}}{m+n}\]
C.	\[m\,\mathbf{a}-n\,\mathbf{b}\]
D.	\[\frac{m\,\mathbf{a}-n\,\mathbf{b}}{m-n}\]
Answer» C. \[m\,\mathbf{a}-n\,\mathbf{b}\]

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If in the given figure \[\overrightarrow{OA}=\mathbf{a},\,\,\,\overrightarrow{OB}=\mathbf{b}\] and \[AP\,\,:\,\,PB=m\,\,:\,\,n,\] then \[\overrightarrow{OP}=\] [RPET 1981; MP PET 1988]

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