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Math Help - Create plane from 3 points and distance from plane to point

  1. #1
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    Create plane from 3 points and distance from plane to point

    I have some trouble getting this small problem right

    I want to make a plane from these three points:
    1
    5.004.218 993.185 9.591

    2
    5.005.202 993.397 12.622

    3
    5.006.043 993.715 10.325


    I have made two vectors from these points
    1-2
    984 212 3.031

    1-3
    1.825 530 734

    and then calculated the normal vector to these two vectors
    n
    -1450822 4809319 134620

    and from this I have tried to get the equation to the plane which the three lays onto

    plane
    -1450822 4809319 134620 -2,48239E+12


    I want to calculate the distance from the plane to a fourth point

    4
    5.020.399 933.806 9.908


    I have the made this

    7,28371E+12 4,49097E+12 1333814960 2,48239E+12

    and this to get the distance

    (7,28371E+12 + 4,49097E+12 + 4,49097E+12 + 2,48239E+12)/ sqroot(-1450822^2 + 4809319^2 + 134620^2) = 2837385,029

    Can someone please have a look at my calculations so far, and tell me what I have done wrong? (I know the answer is wrong...)

    I have made it in a excel spreadsheet if someone would look at it
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