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Math Help - assistance with reflection

  1. #1
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    assistance with reflection

    how does one go about finding the Image of a vector P in a Plane x+y+z=0 {for example} ?
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  2. #2
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    Quote Originally Posted by XonBugeja View Post
    how does one go about finding the Image of a vector P in a Plane x+y+z=0 {for example} ?
    n=1/sqrt(3)(1,1,1) is the unit normal vector of your plane.
    Point of the plane are precisely the points fulfilling
    X.n=0
    (By dot I denote the scalar product.)

    Let us denote P.n=r. Note that the point
    C= P-rn
    belongs to the plane. It is the projection of the point P to the plane. (Since we changed P in the direction perpendicular to the plane.)

    C is in the middle between P and its reflection, so the reflection is
    P'= P-2rn.
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