"" wrote in alt.algebra.help: >I think you may have misunderstood what the question is asking, so here >is the question verbatim.
(When you didn't post the actual question, it is hardly fair to say that Paul or anyone else "may have misunderstood what the question is asking".)
>Let l and m be the lines >( x - 1 )/2 = ( y - 2 )/3 = ( z - 1 )/3 >and >( x - 3 )/3 = ( y - 1 )/2 = ( z - 1 )/4 >respectively. >(i) Find the equations of planes P and Q that do not intersect, and >have the property that l lies in P and m lies in Q. >(ii) Find the point on Q that is closest to (1, 2, 1), and hence find >the equation of the line l' in Q that is parallel to l. >(iii) Explain why the point of intersection of l' and m is the point on >m that is closest to l, and find this point. Find also the distance >from this point to the point on l closest to it. > >I have calculated the coordinates of all the lines, planes and points