MathDB

Let

r

and

s

two orthogonal lines that does not lay on the same plane. Let

AB

be their common perpendicular, where

A\in{}r

and

B\in{}s

(*).Consider the sphere of diameter

AB

. The points

M\in{r}

and

N\in{s}

varies with the condition that

MN

is tangent to the sphere on the point

T

. Find the locus of

T

. Note: The plane that contains

B

and

r

is perpendicular to

s

Problem Statement