The distance between the line \[\vec{r}.2\hat{i}-2\hat{j}+3\hat{k}\]\[+\lambda (\hat{i}-\hat{j}+4\hat{k})\] and the plane \[\vec{r}.(\hat{i}-5\hat{j}+\hat{k})=5\] is

The distance between the line \[\vec{r}.2\hat{i}-2\hat{j}+3\hat{k}\]\[

1.	The distance between the line \[\vec{r}.2\hat{i}-2\hat{j}+3\hat{k}\]\[+\lambda (\hat{i}-\hat{j}+4\hat{k})\] and the plane \[\vec{r}.(\hat{i}-5\hat{j}+\hat{k})=5\] is
A.	\[\frac{10}{3\sqrt{3}}\]
B.	\[\frac{10}{9}\]
C.	\[\frac{10}{3}\]
D.	\[\frac{3}{10}\]
Answer» B. \[\frac{10}{9}\]

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The distance between the line \[\vec{r}.2\hat{i}-2\hat{j}+3\hat{k}\]\[+\lambda (\hat{i}-\hat{j}+4\hat{k})\] and the plane \[\vec{r}.(\hat{i}-5\hat{j}+\hat{k})=5\] is

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