A) \[7\mathbf{a}-15\mathbf{b}\]
B) \[7\mathbf{a}+15\mathbf{b}\]
C) \[2\pi /3\]
D) \[15\mathbf{a}+7\mathbf{b}\]
Correct Answer: A
Solution :
\[\overrightarrow{OP}=\frac{1(\overrightarrow{OB})+2(6\mathbf{b}-2\mathbf{a})}{1+2}\] \[\Rightarrow 3(\mathbf{a}-\mathbf{b})=\overrightarrow{OB}+12\mathbf{b}-4\mathbf{a}\]\[\Rightarrow \overrightarrow{OB}=7\mathbf{a}-15\mathbf{b}\].You need to login to perform this action.
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