Use the following information about L1 and L2 to check Whether they intersect or not.

Question

Use the following information about L₁ and L₂ to check Whether they intersect or not.

Line L₁ passes through P₁ (0,1,2) and P₂ (-1,2,1).

Line L₂ has the parametric equation x=2-t₂ y=t₂ z=-t₂ -infinity< t₂ <infinity.

Answer 1

y+z = 3 on Line 1: (1, 2) and (2, 1) add to 3

y + z = 0 on line 2. t + -t = 0.

The lines never intersect