Let (1 + 2p , 1 + 3p , - 3 + 2p) be a point on the first line and (k + q , - 1 + 5q , - q) be a point onthe line. If they are co-ordinates of point of intersection then - 3 + 2p = - q and 1 + 3p = - 1 + 5q 1 + 2p = k + p ⇒ p = q = 1 and k = 2 Point of intersection will be (3 , 4 , -1)