Physics Notes - Herong's Tutorial Notes - v3.24, by Herong Yang
3-Dimensional Cartesian Coordinate System
This section provides an introduction of 3-dimensional Cartesian coordinate systems, which uses perpendicular projections on 3 perpendicular axes to describe any locations in the frame of reference.
If we want to describe locations of a space shuttle flying towards a space station, we need a 3-dimensional frame of reference and an associated coordinate system.
First, let's define a 3-dimensional frame of reference with the following reference points:
Next, let's define a 3-dimensional Cartesian coordinate system and associate it to the above frame of reference:
Now we are can describe any location of the space shuttle while it's flying as a set of 3 coordinate numbers.
For example, the location of the space shuttle shown in the picture below can be described as (19113, 20706, 11857), because:
Table of Contents
►Introduction of Frame of Reference
Frame of Reference with 2 Objects
2-Dimensional Cartesian Coordinate System
►3-Dimensional Cartesian Coordinate System
1 Frame of Reference with 2 Coordinate Systems
Introduction of Special Relativity
Time Dilation in Special Relativity
Length Contraction in Special Relativity
The Relativity of Simultaneity
Minkowski Spacetime and Diagrams
Introduction of Generalized Coordinates
Phase Space and Phase Portrait