Let a be perpendicular to vector... | JEE Main 2022 | Vector

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JEE MAIN 2022

28-06-22 S2

Question

Let $\vec{a}$ be a vector which is perpendicular to the vector $3 \hat{i}+\frac{1}{2} \hat{j}+2 \hat{k}$. If $\vec{a} \times(2 \hat{i}+\hat{k})=2 \hat{i}-13 \hat{j}-4 \hat{k}$, then the projection of the vector $\vec{a}$ on the vector $2 \hat{i}+2 \hat{j}+\hat{k}$ is

Select the correct option:

A

$\frac{1}{3}$

B

1

C

$\frac{5}{3}$

D

$\frac{7}{3}$

✓ Correct! Well done.

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Solution

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