Question:
Two vertices of the parallelogram ABCD are given as \(A(-1,2,1)\) and \(B(1,-2,5)\). If the equation of the line passing through C and D is \(\frac{x-4}{1}=\frac{y+7}{-2}=\frac{z-8}{2}\), then find the distance between sides AB and CD. Hence, find the area of parallelogram ABCD.