Coordinates Of A Point In Space
Chapter Name : Introduction To Three Dimensional Geometry |
Sub Topic Code : 104_11_12_03_01 |
Topic Name : Coordinates Of A Point In Space |
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Sub Topic Name : Coordinates Of A Point In Space |
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Introduction
We plot a point in 3D by measuring its distance from all the three axes simultaneously. Depending on the position of a point in the space, it may have one, two or all three coordinates zero. If it lies on any of the axis then two coordinates are zero, if on any coordinate plane then 1 coordinate is zero while the coordinate of origin is zero.
Pre-Requisites:
2D Cartesian plane, Plotting of points in 2D, 2D coordinate geometry.
Activity:
Plotting of points in 2D
Real Life Question:
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Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| Three dimensional space | Three-dimensional space is a geometric 3-parameters model of the physical universe in which we exist. |
| 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. |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|---|
| Cartesian coordinate system | To know about Cartesian coordinate |
Real life uses :
It is widely used in architecture and earth sciences.
Places to visit :
Math libary
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:
How to plot a point in 3D space? General coordinates on any point lying on any axis or any Cartesian plane.
What you learn in Practice:
General
coordinates on any point lying on any axis or any Cartesian plane.