Question:medium

Let O be the origin, $\vec{OP} = \vec{a}$ and $\vec{OQ} = \vec{b}$. If R is the point on $\vec{OP}$ such that $\vec{OP} = 5\vec{OR}$, and M is the point such that $\vec{OQ} = 5\vec{RM}$, then $\vec{PM}$ is equal to :

Updated On: Apr 12, 2026
  • $\frac{1}{5}(\vec{a} - 4\vec{b})$
  • $\frac{1}{5}(\vec{b} - 4\vec{a})$
  • $\frac{1}{5}(-\vec{a} + 4\vec{b})$
  • $\frac{1}{5}(-\vec{b} + 4\vec{a})$
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The Correct Option is B

Solution and Explanation

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