I have a problem where i don't have the solution to since i like to practice odd problems.

I am not sure if i have done this correctly.

Determine whether the lines

L1:

L2:

are parallel, intersecting, or skew. If they intersect find the point of intersection.

Attempt:Take L2 and re-write it using t=s to make it simpler

L2:

Make them parametric:

(1)

(2)

(3)

Solve (1) for t

Solve(2) for s

so, and

Solve (3) by subbing in t and s

Therefore, two lines intersect. Not parallel.

To find the point of intersection:

Solve L1 for

L1:

point: (0, -1, 2)

Is this correct? Or did i do this completely wrong?

Thank you