Position vector question. Tough to solve.

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drsundeep
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Hints:

1. $\displaystyle \begin{align*} \vec{PQ} = \vec{PO} + \vec{OR} + \vec{RQ} \end{align*}$. Finish it.

2. $\displaystyle \begin{align*} \vec{OM} = \vec{OP} + \vec{PM} = \vec{OP} + \frac{1}{2}\vec{PQ} \end{align*}$. Finish it.
 

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