# Skew lines

• Mar 9th 2008, 07:30 AM
John24
Skew lines
I need help with my homework (Crying)

Sorry for my english at first.

There is a cube with points ABCDEFGH
and AE, BF, CG and DH are its edges.
Also |BJ|=|CJ|=|BC|/2

Line m goes through H and J.
Line k goes through A and E.
Line l goes through F and G.
Line n goes through C and D.

How many lines exist, which are equaly distanted from lines k , l and n and are pararell to line m.

Thank you in advance:)
• Mar 9th 2008, 01:12 PM
earboth
Quote:

Originally Posted by John24
I need help with my homework (Crying)

Sorry for my english at first.

There is a cube with points ABCDEFGH
and AE, BF, CG and DH are its edges.
Also |BJ|=|CJ|=|BC|/2

Line m goes through H and J.
Line k goes through A and E.
Line l goes through F and G.
Line n goes through C and D.

How many lines exist, which are equaly distanted from lines k , l and n and are pararell to line m.

Thank you in advance:)

I've attached a sketch of the cube with HJ and a parallel to HJ.

But I don't understand what you would like to do with the edges k, l and n.
• Mar 9th 2008, 03:25 PM
John24
I wanted to say that this new red line which is pararell to HJ has to be equally distanced from both line k, from line l and from line n.
That means:
Distance beetween new line and line k equals x
Distance beetween new line and line l equals x
Distance beetween new line and line n equals x

The main question is: how many such described lines exist?
What do you think about it?