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Math Help - distance between the plane and point

  1. #1
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    distance between the plane and point

    Hi



    Given the points A=(-1,1,0), B=(1,3,0), C=(0,3,-1) and D=(1,2,3)

    What is the distance between the plane through A,B, C and point D?


    anyone can give me a hint?


    Thanks
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  2. #2
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    Quote Originally Posted by Reza_ View Post
    Hi



    Given the points A=(-1,1,0), B=(1,3,0), C=(0,3,-1) and D=(1,2,3)

    What is the distance between the plane through A,B, C and point D?


    anyone can give me a hint?


    Thanks
    Hint: Once you have the equation of the plane in the form ax + by + cz + d =0 then the distance between that plane and the point P(x_0,y_0,z_0) is given by

    \frac{|a x_0 + b y_0 + c z_0 + d |}{\sqrt{a^2+b^2+c^2}}
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