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If $\vec{a}=\hat{i}-2\hat{j}+2\hat{k}$ and $\vec{b}=9\hat{i}+6\hat{j}-18\hat{k}$ are two vectors, then $\frac{\text{Projection of } \vec{b} \text{ on } \vec{a}}{\text{Projection of } \vec{a} \text{ on } \vec{b}} =$

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The projection of vector $\vec{u}$ on $\vec{v}$ is a scalar quantity. The ratio of projections of $\vec{b}$ on $\vec{a}$ to $\vec{a}$ on $\vec{b}$ simplifies to the ratio of their magnitudes, $|\vec{b}|/|\vec{a}|$.

Updated On: Mar 30, 2026

21
7
$7/3$
3

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The Correct Option is B

Solution and Explanation

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If $\vec{a}=\hat{i}-2\hat{j}+2\hat{k}$ and $\vec{b}=9\hat{i}+6\hat{j}-18\hat{k}$ are two vectors, then $\frac{\text{Projection of } \vec{b} \text{ on } \vec{a}}{\text{Projection of } \vec{a} \text{ on } \vec{b}} =$

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The Correct Option is B

Solution and Explanation

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