If $\vec{a}$ is any vector in space,then
- A$\vec{a} = (\vec{a} \cdot \hat{i})\hat{i} + (\vec{a} \cdot \hat{j})\hat{j} + (\vec{a} \cdot \hat{k})\hat{k}$
- B$\vec{a} = (\vec{a} \times \hat{i}) + (\vec{a} \times \hat{j}) + (\vec{a} \times \hat{k})$
- C$\vec{a} = \hat{j}(\vec{a} \cdot \hat{i}) + \hat{k}(\vec{a} \cdot \hat{j}) + \hat{i}(\vec{a} \cdot \hat{k})$
- D$\vec{a} = (\vec{a} \times \hat{i}) \times \hat{i} + (\vec{a} \times \hat{j}) \times \hat{j} + (\vec{a} \times \hat{k}) \times \hat{k}$
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View SolutionLet $O$ be the origin, $\vec{OP} = \vec{a}$ and $\vec{OQ} = \vec{b}$. If $R$ is a point on $\vec{OP}$ such that $\vec{OP} = 5\vec{OR}$, and $M$ is a point such that $\vec{OQ} = 5\vec{RM}$, then $\vec{PM}$ is equal to:
DifficultJEE MAIN 2026
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