Let L1 be the line passing through the points Q1=(−2, −5, 4) and Q2=(4, −1, 2) and let L2 be the line passing through the point P1=(10, 8, −7) with direction vector →d=[1, −1, 2]T. Determine whether L1 and L2 intersect. If so, find the point of intersection Q.

Answer 1

I did the same question about a week ago,
all you have to do is change a few numbers.

Without doing the actual steps again, watch if near the end,
LS = RS , then they do intersect, and you can find the point
or
LS ≠ RS, then they would NOT intersect