Problem 11.5.099 - Find the distance between two lines. - Calc III HW Help

In this video, we solve problem 11.5.099 from the Larson and Edwards Calculus: Early Transcendental Functions text, 7th edition.
We're asked to verify that two lines with given parametric equations are parallel, and then we're asked to find the distance between two lines.

[@بنتِحوا-ز7ق]

If we consider v2 in cross product....then how we can manage this question?...i mean answer should not be affected while using this trick? Am i right? Plz guide about it

[@SashaTownsendTulsa]

Yes, you could just as easily use v2 as opposed to v1. You’d have to switch the labels for P and Q as well though, to ensure that you’re finding the length of the projection of PQ onto a vector normal to both lines.