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Math Help - what is the xy plane

  1. #1
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    what is the xy plane

    Determine vector and parametric equations for the plane through the point (1, -2, 3) and parallel to the xy-plane
    i understand the equations but what is the x-y plane????


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    Re: what is the xy plane

    Quote Originally Posted by flammingKnife95 View Post
    Determine vector and parametric equations for the plane through the point (1, -2, 3) and parallel to the xy-plane i understand the equations but what is the x-y plane????

    The xy\text{-plane } is simply z=0. So what is the answer to this question?
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    Re: what is the xy plane

    what are the x and y equal to?
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    Re: what is the xy plane

    Quote Originally Posted by flammingKnife95 View Post
    what are the x and y equal to?
    Does it matter? Isn't the x-y plane (z = 0) just moved up by 3 units so that it can go through the point (1, -2, 3)?
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    Re: what is the xy plane

    Flamming...
    you need a plane that passes through the point P(1,-2,3) and it is parallel to the plane XY.
    to define a plane you need 2 things...
    1 one point ...you have it

    2 one vector that is perpendicular to the plane..
    in your case....the plane XY is parallel to your plane and the vector v(0i+0j+1k) is perpendicular to the plane XY
    therefore to define your plane get the point and the vector v and you are ok....
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    Re: what is the xy plane

    Quote Originally Posted by flammingKnife95 View Post
    what are the x and y equal to?
    x~\&~y can be any real number whatsoever.

    The xy\text{-plane}=\{(x,y,0):\{x,y\}\subset\mathbb{R}\}
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    Re: what is the xy plane

    I forgot to mention that the equation of the plane you are looking is z = 3
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