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:

3-Dimensional Cartesian Coordinate System
2-Dimensional Cartesian Coordinate System

Table of Contents

 About This Book

 Introduction of Space

Introduction of Frame of Reference

 What Is Frame of Reference

 Frame of Reference with 2 Objects

 What Is Coordinate System

 2-Dimensional Cartesian Coordinate System

3-Dimensional Cartesian Coordinate System

 1 Frame of Reference with 2 Coordinate Systems

 Introduction of Time

 Introduction of Speed

 Newton's Laws of Motion

 Introduction of Special Relativity

 Time Dilation in Special Relativity

 Length Contraction in Special Relativity

 The Relativity of Simultaneity

 Introduction of Spacetime

 Minkowski Spacetime and Diagrams

 Introduction of Hamiltonian

 Introduction of Lagrangian

 Introduction of Generalized Coordinates

 Phase Space and Phase Portrait


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