does anybody know how to do this? the direction vector and the point given for l2 dont seem to match

[mint gull]

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[inner pelican]

Suppose you have two lines.
L1: r = r1 + s1 t1
L2: r = r2 + s2 t2
Then the distance between them is:
d(L1, L2) = |(s1⨯s2)·(r2 - r1)|/|s1⨯s2|

[narrow citrus]

Right, but i dont have l2, I have a line parallel to it and a point on it, how do i find it in parametric form?

[cyan grail]

Let t = (x+1)/2, then you can solve for the parametric form of the given line L3
Let's denote that parametric form as r = r3 + t s2
Then L2 is just r = r2 + t s2, where r2 is the given point (-3, 1, 2)