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## Homework Statement

L1 passes through (1,-4,0) and (9,0,4)

L2 passes through (2,-3,-1) and (4,-3,3)

Do L1 and L2 intersect? If so, where?

## Homework Equations

Parametric equations(?)

## The Attempt at a Solution

A = (1,-4,0)

B = (9,0,4)

C = (2,-3,-1)

D = (4,-3,3)

AB = (-8,-4,-4)

CD = (-2,0,-4)

This question seems similar to a question asking for the intersection of a line between a line a, nd an x,y, or z plane, I would take the parametric equations of x y z. Solve for, the x y or z formula to find out what the parametric unknown must be to make the equation equal 0. Then sub in the parameter to the original x y z to find the coordinates.

However, I've never done this kind of question, so I'm not totally sure wher to start.

Can anyone give me a push in the right direction?

Thanks!