The position vector of the point where the line \[\mathbf{r}=\mathbf{i}-\mathbf{j}+\mathbf{k}+t(\mathbf{i}+\mathbf{j}+\mathbf{k})\]meets the plane \[\mathbf{r}.(\mathbf{i}+\mathbf{j}+\mathbf{k})=5\]is [Kerala (Engg.) 2005]

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

\[5\mathbf{i}+\mathbf{j}-\mathbf{k}\]

\[5\mathbf{i}+3\mathbf{j}-3\mathbf{k}\]

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

\[5\mathbf{i}+\mathbf{j}+\mathbf{k}\]

\[4\mathbf{i}+2\mathbf{j}-2\mathbf{k}\]

The position vector of the point where the line \[\mathbf{r}=\mathbf{i

1.	The position vector of the point where the line \[\mathbf{r}=\mathbf{i}-\mathbf{j}+\mathbf{k}+t(\mathbf{i}+\mathbf{j}+\mathbf{k})\]meets the plane \[\mathbf{r}.(\mathbf{i}+\mathbf{j}+\mathbf{k})=5\]is [Kerala (Engg.) 2005]
A.	\[5\mathbf{i}+\mathbf{j}-\mathbf{k}\]
B.	\[5\mathbf{i}+3\mathbf{j}-3\mathbf{k}\]
C.	\[2\mathbf{i}+\mathbf{j}+2\mathbf{k}\]
D.	\[5\mathbf{i}+\mathbf{j}+\mathbf{k}\]
E.	\[4\mathbf{i}+2\mathbf{j}-2\mathbf{k}\]
Answer» C. \[2\mathbf{i}+\mathbf{j}+2\mathbf{k}\]

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The position vector of the point where the line \[\mathbf{r}=\mathbf{i}-\mathbf{j}+\mathbf{k}+t(\mathbf{i}+\mathbf{j}+\mathbf{k})\]meets the plane \[\mathbf{r}.(\mathbf{i}+\mathbf{j}+\mathbf{k})=5\]is [Kerala (Engg.) 2005]

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