1.

The vector equation of the plane through the point \[\mathbf{i}+2\mathbf{j}-\mathbf{k}\] and perpendicular to the line of intersection of the planes \[\mathbf{r}.(3\mathbf{i}-\mathbf{j}+\mathbf{k})=1\]  and \[\mathbf{i}+4\mathbf{j}-2\mathbf{k}=2\] is

A.   \[\mathbf{r}.(2\mathbf{i}+7\mathbf{j}-13\mathbf{k})=1\]
B.   \[\mathbf{r}.(2\mathbf{i}-7\mathbf{j}-13\mathbf{k})=1\]
C.   \[\mathbf{r}.(2\mathbf{i}+7\mathbf{j}+13\mathbf{k})=0\]
D.   None of these
Answer» C.   \[\mathbf{r}.(2\mathbf{i}+7\mathbf{j}+13\mathbf{k})=0\]


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