Find the distance of the point (2, 12, 5) from the point of intersection of the line $ \overrightarrow r = 2\hat i - 4\hat j + 2 \hat k + \lambda ( 3\hat i + 4 \hat j + 2 \hat k ) $ and the plane $ \overrightarrow r. ( \hat i - 2 \hat j + \hat k ) =0.$

Question

$(a)\;13\;units\qquad(b)\;1\;units\qquad(c)\;12\;units\qquad(d)\;14\;units$