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Coordinate Geometry.
Coordinate Geometry.  
Dear Prof David

http://en.wikipedia.org/wiki/Analytic_geometry
http://www.mathopenref.com/coordintro.html
http://www.math.com/school/subject3/lessons/S3U1L2GL.html
http://c-schools.net/PPT/Coordinate%20Geometry.ppt
http://www.youtube.com/watch?v=7h74ad7IWiI
http://www.math.wisc.edu/~robbin/461dir/coordinateGeometry.pdf
http://www.wolframalpha.com/examples/CoordinateGeometry.html

What could be the Impact to different disciplines and applications
of mathematics if Point (x,y) is replaced with Point (y,x).

i.e. x coordinate = Horizontal axis
    y coordinate = Vertical axis


Now instead of this standard convention, implement the following
given below

i.e. x coordinate = Vertical axis
    y coordinate = Horizontal axis


For examples :  

1st Quadrant Point A(3,2) will become Point A(2,3)
2nd Quadrant Point B(-2,3) will become Point B(3,-2)
3rd Quadrant Point C(-3,-4) will become Point C(-4,-3)
4th Quadrant Point D(2,-3) will become Point D(-3,2)

i.e. because the Points are now represented as y,x instead of x,y,
the Plotting of Points A,B,C,D on graph paper will be now different.

Can there be any impact while plotting Graphs viz Sine,Cosine, Tangent waves etc, vector algebra and other applications of mathematics similar to Coordinate Geometry if Point F (x,y) is represented as Point F(y,x) ?

Awaiting your reply,

Thanks & Regards,
Prashant S Akerkar

Answer
There would be no impact at all, it's just a convention chosen long ago. If instead we plotted functions with the independent variable on the vertical axis then their graphs would be reflections in the line y=x from what we are used to, and our students would learn a "vertical line test" for checking if a graph is a function, but mathematically it would be completely irrelevant. It's just an arbitrary choice of notation.

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