find parametric eq of a linethat intersects both lines, [x,y,z]=[4,8,-1]+t[2,3,-4]

[x,y,z]=[7,2,-1]+s[-6,1,2] at 90 degrees.

So with direction vectors, i cross multiplied to get [1,2,2].

I just need to know the point that the line goes through to complete the equation.

I also did...

x=4+2t=6s

y=8+3t=2+s

z=-1-4t=-1+2s

and got t = -6/5 and s=12/5

so since no interception and not parallel, it's a skew line.

What would be the intercept point if the two screw lines were in the same plane. (i know they are not. but how would you find the point where the two lines make an X (top-view))