Find the distance between \(Q = (3, -7, -1)\) and the line through\( A = (1, 1, 2)\) and \(B = (2, 3, 4).\) This distance is equal to \(\dfrac{\sqrt{d}}{3}\)for some integer \(d\). What is \(d\)?
d is $\sqrt{\frac{293}{3}}$
