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Math Help - Distance from a point to the plane

  1. #1
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    Distance from a point to the plane

    What is the distance from the point (1,2,4) to the plane 2x+y+z=12 ?

    I got
    5√6 / 6
    Anybody agree?


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  2. #2
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    Quote Originally Posted by keysar7 View Post
    What is the distance from the point (1,2,4) to the plane 2x+y+z=12 ?

    I got
    5√6 / 6
    Anybody agree?


    The distance from the point (x_0,y_0,z_0) to the plane ax+by+cz=d is given by \dfrac{|ax_0+by_0+cz_0-d|}{\sqrt{a^2+b^2+c^2}}. Plugging in the numbers for this problem, I get 4\sqrt6/6.
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