Given lines x-42=y+54=z-1-3 and x-21=y+13=z2 Statement S1: The lines intersect  Statement S2: They are not parallel

let A=(4,-5,1),  B=(2,-1,0)  c¯=(2,4,-3),d¯=(1,3,2)then AB¯   c¯   d¯=−24−124−3132≠0∴ The lines are non−coplanarc¯ is not parallel to d¯⇒ The lines are non−parallelHence they are skew−lines