The lines x1=y2=z3 and x−1−2=y−2−4=z−3−6 are :-
L1=x−x1a1=y−y1b1=z−z1c1=x1=y2=z3
L2=x−x2a2=y−y2b2=z−z2c2=x−1−2=y−2−4=z−3−6 NOW ∣∣ ∣∣X2−X1y2−y1z2−z1a1b1c1a2b2c2∣∣ ∣∣
=∣∣
∣∣123123243∣∣
∣∣ determinant of above matrix =0 Hence line intersect ,