If and are three planes are three non-coplanar vectors, then three lines P1 =0, P2=0; P2= 0, P3 = 0 and P3 : 0, P1 : 0 are
P1 =0, P2=0; P2= 0, P3 = 0 and P3 : 0, P1 : 0 are lines of intersection of the three planes P 1 P2 and P3
As are non-coplanar, planes P1, P2 and P3 will intersect at unique point.
So the given lines will pass through a fixed point.