Answer to Question #229355 in Analytic Geometry for Anuj

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

$\text{The answer is B, as the the shortest distance between the lines is one which is}\\\text{perpendicular to both the lines, therefore there exist points R and S on the }\\\text{skew lines such that the distance is minimal.}$