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

Question

( A ) $\frac{3}{10}$
( B ) $\frac{10}{3\sqrt{3}}$
( C ) $\frac{10}{9}$
( D ) $\frac{10}{3}$