The distance of the line $\overrightarrow r=2\hat i-2\hat j+3\hat k+\lambda(\hat i-\hat j+4\hat k)$ from the plane $x+5y+z=5$ is ?

Question

$\begin{array}{1 1} (a)\:\:\large\frac{10}{3\sqrt 3}\:\:\:\qquad\:\:(b)\:\:\frac{10}{9}\:\:\:\qquad\:\:(c)\:\:\frac{10}{3}\:\:\:\qquad\:\:(d)\:\:\frac{3}{10} \end{array}$