Question

I have determined that the direction vector (Line intersecting two planes) is (11, -1, 7) = n1 x n2

where n1 and n2 are normal vectors to the two plane equations:

x - 3y - 2z = 12
2x + y - 32 = -1

How do I find if a point is on the line?

Would I just have to check if it is parallel with the direction vector