I am trying to understand the Shortest dostance between two skew lines. I know the process. But I can not understand the process. My doubts are following.
First: A line segment , which is perpendicular to both lines , is drawn . (My doubt --- How you are sure to have a segment like that? There may not exist such kind of segment.)
Second: Two points P & Q, one from each line, are taken and we determine the length of the projection of PQ on the segment. The length of the projection on the segment , which is perpendicular to both the lines, is nothing but the length of the segment .This length is shortest distance. ( My question : PQ and the segment, which is perpendicular to both the lines, may not be coplanar. Then how we take the projection of PQ on the segment. )
Can someone please help me to clear my doubts?