Why should the coordinate system (x,y,z)axes be perpendicular?

Question

why can I represent a point in a "2d plane" (paper) not using more than 2 sets of independent parametres(foundby trial and error only) ????why 2 is so special??

PLEASE CLEAR MY DOUBT.....

Answer 1

I don't understand your discussion point. In general, a coordinate system does NOT have to be perpendicular, but unless you are well-practised in math, it make life a lot more bearable.

In more abstract math, the coordinate system would be considered 3-unit vectors, x=1, y=1 and z=1. Then any point in space can be located by the sum of these 3 vectors, each with a given coefficient.

Answer 2

A plane is two dimensional, so you need two coordinates.
Space is three dimensional, so you need three coordinates.

The axes do not have to be perpendicular, but it is most efficient. Two axes cannot be colinear and the third cannot be coplanar with the other two. Similarly, the spacing does not have to be linear. Logarithmic scales are commonly used.