Intersection of common perpendicular and lines

Hello everyone,

15. The common perpendicular of two skew lines with direction vectors and is the line that intersects both the skew lines and has direction vector . Find the points of intersection of the common perpendicular with each of the lines and .

Thank you for your help.

---

,

so:

However, I am not sure how to proceed from here.

I called the common perpendicular , whose vector equation is .

I then tried to find the points of intersection with the first given line ([x, y, z]) but I did not get useful solutions.