Intersection of 3 Lines in Space 1. The problem statement, all variables and given/known data L0 contains point P(1,0,2) and it meets L1: x=y=z+2 L2: x+3=-y/2=z/3 Find equation of Line L0. 3. The attempt at a solution So we know that l1 and l2 are skewed. Based on the given info: L1) x=t y=t z=t-2 L2) x =t-3 y = -2t z = 3t these parametric eqns are the same eqns in vector form r1 = (0,0,-2) + t(1,1,1) r2 = (-3,0,0) + t (1,-2,3) with P(1,0,2) for L0, i deduce L0 = (1,0,2) + t(x,y,z) im stuck now, with no directional vector since L0 is not necessarily perpendicular to both lines so i cant even use cross product of directional vectors of L1 & L2. Thanks for the help!