Section Formula
Chapter Name : Introduction To Three Dimensional Geometry |
Sub Topic Code : 104_11_12_05_01 |
Topic Name : Section Formula |
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Sub Topic Name : Section Formula |
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Introduction
In this topic we will see how to find the coordinates of the point that divides the join between two given points in a particular ratio. For external division the ratio is always negative while for internal division it’s always positive.
Pre-Requisites:
2D Cartesian plane, Plotting of points in 2D, 2D coordinate geometry.
Activity:
geometric 3-parameters model
Real Life Question:
null
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 |
|---|---|
| Section Formula chart | To know about Section Formula |
Real life uses :
It is used in vector algebra, conic section, architecture etc.
Places to visit :
Math libary
Practical examples around us
| Examples | Explainations |
|---|---|
| geometric 3-parameters model | Three-dimensional space is a geometric 3-parameters model of the physical universe in which we exist. |
What you learn in Theory:
How to find the coordinate of a point that divides a join in a particular ratio?
What you learn in Practice:
How to find the coordinate of a point that divides a join in a particular ratio?