Why is the Cartesian System unique?
The Cartesian System is unique because you can specify any point uniquely in a two or three dimensional space by using two or three Cartesian coordinates
your answer is good, but there are other systems with 3 sets of axes which do the same job.
try googling your question. You will see discussions of the other characteristics of the system.
To understand why the Cartesian System is unique, let's first explain what the Cartesian System is. The Cartesian System, also known as the Cartesian coordinate system, was developed by French mathematician René Descartes in the 17th century. It is a mathematical framework that allows us to represent points in a two or three-dimensional space using coordinates.
In the Cartesian System, each point in space is represented by a set of coordinates, typically represented as (x, y) in a two-dimensional space, or (x, y, z) in a three-dimensional space. The x-axis represents the horizontal direction, the y-axis represents the vertical direction, and the z-axis represents the depth or height in a three-dimensional space.
The uniqueness of the Cartesian System lies in its ability to specify any point uniquely. By using two or three Cartesian coordinates, we can determine the exact location of a point in space. This is achieved by measuring the distance of the point from the origin, which is the intersection of all three axes (0,0,0). The x-coordinate represents the distance from the point to the yz-plane, the y-coordinate represents the distance from the point to the xz-plane, and the z-coordinate represents the distance from the point to the xy-plane.
This uniqueness allows us to perform various mathematical operations, such as determining the distance between two points, finding equations of curves or surfaces, and solving geometric problems. It is a fundamental tool in many branches of mathematics, physics, engineering, computer graphics, and more.
So, in summary, the Cartesian System is unique because it provides a consistent and efficient method for specifying any point uniquely in a two or three-dimensional space, using two or three Cartesian coordinates.