Here is the question as written on a practice sheet:

Consider the line l1 : ~r1(t) =< −2, 1, 1 > +t < −2, −3, 1 >and line l2 : ~r2(t) =< 1, 2, −4 > +t < 1, −2, −4 >.

(a) Show that these two lines intersect at a point. Find the intersection point.

(b) Show that these two lines are coplanar by finding the plane which contains these two lines

I understood part a. but id appreciate if someone can verify their intersection point is (0,4,0) ?

Part b. is where I'm lost. I understand as far as having to do cross product of these two vectors and then plugging in that result into the standard formula for a plane. However, I know that you also need the rectangular points of those lines to include into that plane equation as well. My main question is:

Where and how the heck do i figure out the rectangular points of these vectors?

Thanks!