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Math Help - Skew lines

  1. #1
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    Skew lines

    I need help with my homework

    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.

    Please help me!
    Thank you in advance
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  2. #2
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    Quote Originally Posted by John24 View Post
    I need help with my homework

    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.

    Please help me!
    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.
    Attached Thumbnails Attached Thumbnails Skew lines-wuerfelkanten.gif  
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  3. #3
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    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?
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