The point of intersection of \[\mathbf{r}\times \mathbf{a}=\mathbf{b}\times \mathbf{a}\] and \[\mathbf{r}\times \mathbf{b}=\mathbf{a}\times \mathbf{b}\], where \[\mathbf{a}=\mathbf{i}+\mathbf{j}\] and \[\mathbf{b}=2\mathbf{i}-\mathbf{k}\] is [Orissa JEE 2004]

\[3\mathbf{i}+\mathbf{j}-\mathbf{k}\]

\[3\mathbf{i}+2\mathbf{j}+\mathbf{k}\]

The point of intersection of \[\mathbf{r}\times \mathbf{a}=\mathbf{b}\

1.	The point of intersection of \[\mathbf{r}\times \mathbf{a}=\mathbf{b}\times \mathbf{a}\] and \[\mathbf{r}\times \mathbf{b}=\mathbf{a}\times \mathbf{b}\], where \[\mathbf{a}=\mathbf{i}+\mathbf{j}\] and \[\mathbf{b}=2\mathbf{i}-\mathbf{k}\] is [Orissa JEE 2004]
A.	\[3\mathbf{i}+\mathbf{j}-\mathbf{k}\]
B.	\[3\mathbf{i}-\mathbf{k}\]
C.	\[3\mathbf{i}+2\mathbf{j}+\mathbf{k}\]
D.	None of these
Answer» B. \[3\mathbf{i}-\mathbf{k}\]

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The point of intersection of \[\mathbf{r}\times \mathbf{a}=\mathbf{b}\times \mathbf{a}\] and \[\mathbf{r}\times \mathbf{b}=\mathbf{a}\times \mathbf{b}\], where \[\mathbf{a}=\mathbf{i}+\mathbf{j}\] and \[\mathbf{b}=2\mathbf{i}-\mathbf{k}\] is [Orissa JEE 2004]

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