Tuesday, September 13, 2011

What does a plane look like in math terms?

I have to find planes in a picture for math, but my math book isn't very informational, can anyone describe what a plane looks like in math terms? I'm not talking an air plane, but you know a plane in geometry, Thanks.|||Technically, a plane is a 2-dimensional object that is infinite in extent. You won't find any real objects with either of those characteristics. When we want to draw a picture to represent a plane, we usually draw a rectangle (if we're looking straight at it) or a parallelogram (if we're looking at it from an angle). In other words, we draw a representative piece of a plane.





A sheet of paper, a flat piece of aluminum foil, a tabletop (but not the table), the surface of a flat wall, either surface of a flat windowpane, a football field -- all of these are concrete approximations of the abstract geometric object.|||A plane in geometry is a set of 2 variable points, for example the standard (x,y) graph is a plane. Also looking at 3D, the (y,z) graph is a plane, however the (x,y,z) graph is not a plane as it has more than 3 co-ordinates, and thus cannot lie on in effect a flat graph.





So a plane is a set of points in the form (x,y)

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