In a triangle ABC, if \[2\overrightarrow{AC}=3\overrightarrow{CB},\] then \[2\overrightarrow{OA}+3\overrightarrow{OB}\] equals [IIT 1988; Pb. CET 2003]

\[\frac{1}{3}\,(2\mathbf{i}-2\mathbf{j}+\mathbf{k})\]

In a triangle ABC, if \[2\overrightarrow{AC}=3\overrightarrow{CB},\] t

1.	In a triangle ABC, if \[2\overrightarrow{AC}=3\overrightarrow{CB},\] then \[2\overrightarrow{OA}+3\overrightarrow{OB}\] equals [IIT 1988; Pb. CET 2003]
A.	\[5\overrightarrow{OC}\]
B.	\[\frac{1}{3}\,(2\mathbf{i}-2\mathbf{j}+\mathbf{k})\]
C.	\[\,\overrightarrow{OC}\]
D.	None of these
Answer» B. \[\frac{1}{3}\,(2\mathbf{i}-2\mathbf{j}+\mathbf{k})\]

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In a triangle ABC, if \[2\overrightarrow{AC}=3\overrightarrow{CB},\] then \[2\overrightarrow{OA}+3\overrightarrow{OB}\] equals [IIT 1988; Pb. CET 2003]

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