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Math Help - Finding minimum distance between two lines

  1. #1
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    Finding minimum distance between two lines

    I need to find the points on two lines in 4 dimensions that are closest to each other. How would I go about doing that?

    Thanks!
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  2. #2
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    Re: Finding minimum distance between two lines

    What are the equations of the lines?
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  3. #3
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    Re: Finding minimum distance between two lines

    The first line is all scalar multiples of (1,2,0,0).
    The second line is (1,0,-2,3) + all scalar multiples of (-1,1,2,-1).

    The answer I got was the points (3/7,6/7,0,0) and (-1/7,8/7,2/7,5/7). The distance I got was one.

    Is this correct?

    Thanks!
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