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Math Help - Point-Normal equation of a plane.

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    Point-Normal equation of a plane.

    Given that a plane passes throught the points (1,2,3) and (3,2,1) and is parallel to the vector (-3,-2,-1), how would i go about finding a point-normal equation for the plane?
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    Quote Originally Posted by Oiler View Post
    Given that a plane passes throught the points (1,2,3) and (3,2,1) and is parallel to the vector (-3,-2,-1), how would i go about finding a point-normal equation for the plane?
    Define \vec{u}=<3,2,1>-<1,2,3> and \vec{v}=<-3,-2,-1>.
    The normal to the plane will be \vec{n}=\vec{u}\times \vec{v}.
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