Coordinate Axes And Coordinate Planes In Three Dimensional Space
Chapter Name : Introduction To Three Dimensional Geometry |
Sub Topic Code : 104_11_12_02_01 |
Topic Name : Coordinate Axes And Coordinate Planes In Three Dimensional Space |
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Sub Topic Name : Coordinate Axes And Coordinate Planes In Three Dimensional Space |
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Introduction
Like in 2D, axes in 3D are also mutually perpendicular but the difference is in the number of axes involved. In 2D two axes are involved (x and y axis) but in 3D three axes are involved namely x, y, and z-axes.
Pre-Requisites:
2D Cartesian plane, Plotting of points in 2D, 2D coordinate geometry
Real Life Question:
What is the relation between 3 axes?
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| Cartesian coordinate system | A Cartesian coordinate system specifies each point uniquely in a plane by a pair of numerical coordinates, which are the signed distances from the point to two fixed perpendicular directed lines, measured in the same unit of length. |
| Three dimensional space | Three-dimensional space is a geometric 3-parameters model of the physical universe in which we exist. |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|
Real life uses :
It is widely used in architecture and earth sciences.
Practical examples around us
| Examples | Explainations |
|---|---|
| Book | It is 3 dimensional as it has three dimensions. |
| Football | You can’t have a football in a plane. |
What you learn in Theory:
What is 3 dimensional geometry and what are its uses?
What you learn in Practice:
Sign convention in 3D space.