Answer to Question #6436 in Algebra for anil jha

Question

intercepts made by the line of shortest distance.

In the following problem,
The line of shortest distance of the lines (x/2)=(-y/3)=(z) and (x-2)/3=(y-1)/-5=(z+2)/2
intersects these two lines in P andQ respectively.
1.find the coordinates of P
2.find the coordinates of Q.
i can find the shortest distance between these two lines.but how to find the points of intersection with the line of shortest distance?