Answer to Question #228619 in Analytic Geometry for Nama Glory

Question

We consider two skew lines r and s in space, then

A.     For any point R of r and any point S of s the distance between R and S is constant.

B.     There is a single point R of r and a single point S of s such that the distance between R and S is minimal.

C.     There exist an infinite of points R in r and S in s such that the distance between R and S is minimal

D.     None of the above

Answer 1

Answer:-

The answer is B, as we know that  the shortest distance between the lines is one which is perpendicular to both the lines,

 therefore there exist points R and S on the skew lines such that the distance is minimal.