Let \[\vec{a}=\hat{i}+\hat{j};\hat{b}=2\hat{i}-\hat{k}\]. Then vector \[\vec{r}\] satisfying the equations \[\vec{r}\times \vec{a}=\vec{b}\times \vec{a}\]and \[\vec{r}\times \vec{b}=\vec{a}\times \vec{b}\] is

Let \[\vec{a}=\hat{i}+\hat{j};\hat{b}=2\hat{i}-\hat{k}\]. Then vector

1.	Let \[\vec{a}=\hat{i}+\hat{j};\hat{b}=2\hat{i}-\hat{k}\]. Then vector \[\vec{r}\] satisfying the equations \[\vec{r}\times \vec{a}=\vec{b}\times \vec{a}\]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.	\[3\hat{i}+\hat{j}-\hat{k}\]
D.	\[\hat{i}-\hat{j}-\hat{k}\]
Answer» D. \[\hat{i}-\hat{j}-\hat{k}\]

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Let \[\vec{a}=\hat{i}+\hat{j};\hat{b}=2\hat{i}-\hat{k}\]. Then vector \[\vec{r}\] satisfying the equations \[\vec{r}\times \vec{a}=\vec{b}\times \vec{a}\]and \[\vec{r}\times \vec{b}=\vec{a}\times \vec{b}\] is

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