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JEE Advance 2011
Paper-1
Question
Let $\vec{a}=\hat{i}+\hat{j}+\hat{k}, \vec{b}=\hat{i}+\hat{j}+\hat{k}$ and $\vec{c}=\hat{i}-\hat{j}-\hat{k}$ be three vectors. A vector $\vec{v}$ in the plane of $\vec{a}$ and $\vec{b}$, whose projection on $\overrightarrow{\mathrm{c}}$ is $\frac{1}{\sqrt{3}}$, is given by
Select the correct option:
A
$\hat{i}-3 \hat{j}+3 \hat{k}$
B
$-3 \hat{\mathrm{i}}-3 \hat{\mathrm{j}}+\hat{\mathrm{k}}$
C
$3 \hat{i}-\hat{j}+3 \hat{k}$
D
$\hat{i}+3 \hat{j}-3 \hat{k}$
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
Solution
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