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Math Help - Cartesian equation of plane

  1. #1
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    Cartesian equation of plane

    I am stuck on this problem! Nasty!

    (a) Find the cartesian equation of the plane P through the points
    P(1, 2, 1), Q(2, 1, -1), R(0, 3, 1).

    (b) Find the equation of the line which is perpendicular to P and passes through the point S(2, -2, 3).

    (c) Find the coordinates of the point T on P which is closest to S and hence find the distance from S to P.

    Any help is much appreciated,

    Dranalion
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  2. #2
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    Quote Originally Posted by Dranalion View Post
    I am stuck on this problem! Nasty!

    (a) Find the cartesian equation of the plane P through the points
    P(1, 2, 1), Q(2, 1, -1), R(0, 3, 1).

    (b) Find the equation of the line which is perpendicular to P and passes through the point S(2, -2, 3).

    (c) Find the coordinates of the point T on P which is closest to S and hence find the distance from S to P.

    Any help is much appreciated,

    Dranalion

    What have you done so far? Where are you stuck? And this doesn't belong to advanced algebra but to analytic geometry or pre-university algebra.

    Tonio
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