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Math Help - Equation of the plane

  1. #1
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    Equation of the plane

    Hi guys. I got a question that I am stuck on. Here it is.

    Find an equation of the plane containing the point (2,1,-4),
    and the line r = (1,3,0) + t(-3,2,-2).

    Thanks. Answer should be y + z = 3
    Last edited by Gotovina7; April 18th 2008 at 07:14 PM.
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  2. #2
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    Quote Originally Posted by Gotovina7 View Post
    Hi guys. I got a question that I am stuck on. Here it is.

    Find an equation of the plane containing the point (2,1,4),
    and the line r = (1,3,0) + t(-3,2,-2).

    Thanks. Answer should be y + z = 3
    Use the given line to get two other points in the plane. Do you know how to find the equation of a plane given three points in the plane?
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  3. #3
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    Quote Originally Posted by Gotovina7 View Post
    Hi guys. I got a question that I am stuck on. Here it is. Find an equation of the plane containing the point (2,1,4),
    and the line r = (1,3,0) + t(-3,2,-2).
    Answer should be y + z = 3
    There is as mistake either in the statement of the problem or in the given answer.
    The point (2,1,4) is not in the plane y+z=3.
    Please check both statements for typos.
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  4. #4
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    Yep I wrote the question down wrong, I am sorry. The point is suppose to be (2,1,-4). I will correct it in the question.
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    Quote Originally Posted by Gotovina7 View Post
    Yep I wrote the question down wrong, I am sorry. The point is suppose to be (2,1,-4). I will correct it in the question.
    The point (2,1,-4) is not in the plane y+z=3, either.

    Whatever the true point turns out to be, the approach I outlined in my initial reply is still valid.
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