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Math Help - Distance between two skew line?

  1. #1
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    Distance between two skew line?

    Hi how would i find distance between 2 skew lines?

    as far as i know, First i have to find the vector perpendicular to each line, and then...??

    anyone would help me? thanks
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  2. #2
    MHF Contributor Calculus26's Avatar
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    The basic idea is to use the formula for the distance between a point and a plane.

    Let L1 have direction vector v1 and L2 have direction vector v2

    And let P1 and P2 be the parallel planes containing L1 and L2 respectively

    Then v1 x v2 will will be the Normal to P1.

    Find a point on P1 and compute the equation of the plane P1.

    Find a point on P2 and use the formula for the distance between a point and a plane.
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