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Math Help - Points equidistant from planes

  1. #1
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    Points equidistant from planes

    Find all points that are equidistant from 6x-12y+15z-9=0 and 12x+9y-20z-19=0.

    Thanks.
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  2. #2
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    Re: Points equidistant from planes

    Ops, wrong section, this should be in geometry.
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  3. #3
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    Re: Points equidistant from planes

    I would say that since the points are equidistant from the two planes, then they would be equidistant from their normal vectors...
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  4. #4
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    Re: Points equidistant from planes

    Hello, kicma!

    \text{Find all points that are equidistant from }\,6x-12y+15z-9\:=\:0
    \text{ and }\,12x+9y-20z-19\:=\:0.

    Code:
                      :
          *           :           *
             *        :        *
                *     :     *
                   *  :  *
        - - - - - - - * - - - - - - -
                   *  :  *
                *     :     *
             *        :        *
          *           :           *
                      :
    The solution is a pair of perpendicular planes
    bisecting the angles formed by the two given planes.
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