Advanced Math/Coordinate Geometry.
Dear Prof David
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
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
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.