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Math Help - Point inside the plane

  1. #1
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    Point inside the plane

    Hi,
    Can i use the term below the plane for a point inside the plane i.e when Ax + By+ Cz + D< 0??
    The book uses the term inside the plane and the web material which i have searched. However still some people use the phrase "below the plane". Is it same as inside the plane??
    Kindly guide me.
    Zulfi.
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  2. #2
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    Lexington, MA (USA)
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    Re: Point inside the plane

    Hello, zak100!

    Your wording is confusing . . .


    Can i use the term "below the plane" for a point inside the plane,
    i.e when Ax + By+ Cz + D < 0?

    The book uses the term "inside the plane" and the web material which i have searched.
    However still some people use the phrase "below the plane".
    Is it same as "inside the plane"?

    A plane is defined by an equation: . Ax + By + Cz + D \;=\;0

    Any point (x,y,z) that satisfies the equation
    . . is said to be on the plane.

    With an inequality, like Ax + By + Cz + D \;<\;0
    . . we have all the points which are below the plane.


    Your book should not use the term "inside".

    There is a great difference between "on the circle"
    . . and "inside the circle".

    Besides, "inside" means "within its boundaries".
    A plane has no boundaries ... it extends infinitely.
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  3. #3
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    Pakistan
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    Re: Point inside the plane

    Hi,
    Thanks for your response.
    Your book should not use the term "inside".
    I have checked various websites also like
    http://www.mamcet.com/it/e-learning/...esentation.pdf

    they are also using this term. I have also got confusion. If you want i can tell you the name of the book.
    Thanks again.

    Zulfi.
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