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Question 1
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Let $\vec{a}=\hat{i}+\hat{j}$ and $\vec{b}=2\hat{i}-\hat{k}$, the point of intersection of the lines $\vec{r}\times\vec{a}=\vec{b}\times\vec{a}$ and $\vec{r}\times\vec{b}=\vec{a}\times\vec{b}$ is
A.
$-\hat{i}+\hat{j}+\hat{k}$
B.
$3\hat{i}-\hat{j}+\hat{k}$
C.
$\hat{i}-\hat{j}-\hat{k}$
D.
$3\hat{i}+\hat{j}-\hat{k}$
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