The vector equation of the plane through the point \[2\mathbf{i}-\mathbf{j}-4\mathbf{k}\] and parallel to the plane \[\mathbf{r}.(4\mathbf{i}-12\mathbf{j}-3\mathbf{k})-7=0\] is

\[\mathbf{r}.(4\mathbf{i}-12\mathbf{j}-3\mathbf{k})=12\]

\[\mathbf{r}.(4\mathbf{i}-12\mathbf{j}-3\mathbf{k})=0\]

\[\mathbf{r}.(4\mathbf{i}-12\mathbf{j}-3\mathbf{k})=32\]

The vector equation of the plane through the point \[2\mathbf{i}-\math

1.	The vector equation of the plane through the point \[2\mathbf{i}-\mathbf{j}-4\mathbf{k}\] and parallel to the plane \[\mathbf{r}.(4\mathbf{i}-12\mathbf{j}-3\mathbf{k})-7=0\] is
A.	\[\mathbf{r}.(4\mathbf{i}-12\mathbf{j}-3\mathbf{k})=0\]
B.	\[\mathbf{r}.(4\mathbf{i}-12\mathbf{j}-3\mathbf{k})=32\]
C.	\[\mathbf{r}.(4\mathbf{i}-12\mathbf{j}-3\mathbf{k})=12\]
D.	None of these
Answer» C. \[\mathbf{r}.(4\mathbf{i}-12\mathbf{j}-3\mathbf{k})=12\]

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The vector equation of the plane through the point \[2\mathbf{i}-\mathbf{j}-4\mathbf{k}\] and parallel to the plane \[\mathbf{r}.(4\mathbf{i}-12\mathbf{j}-3\mathbf{k})-7=0\] is

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