Scalars And Vectors
Chapter Name : Motion In Plane |
Sub Topic Code : 101_11_04_02_03 |
Topic Name : Scalars And Vectors |
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Sub Topic Name : Equality Of Vectors |
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Introduction
Two vectors A and B are said to be equal if, and only if, they have the same magnitude and same direction.
Pre-Requisites:
Vector, Magnitude, Direction
Activity:
Develop knowledge of vectors in day to day life. Understand the basic condition for the equality of vectors.
Real Life Question:
Why is speed and velocity not the same thing?
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| Vector | A vector quantity is a quantity that has both a magnitude and a direction and obeys the triangle law of addition or equivalently the parallelogram law of addition. |
| Equality of vectors | Two vectors A and B are said to be equal if, and only if, they have the same magnitude and same direction. |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|---|
| Buildings/sculptors | Buildings or sculptures may use vectors to draw one's eyes to a specific location. |
Real life uses :
Vectors act as visual cues to the observer of an image that perform like road signs to connect two separate objects that give the viewer direction as to where to look and what to look at next in a temporal capacity, or artifact.
Places to visit :
Check the GPS in your mobile handsets and understand how vectors are used in global positioning.
Practical examples around us
| Examples | Explainations |
|---|---|
| Two cars moving in the same direction | The velocities of each of these cars are equal vectors because they move with equal speed and in the same direction. |
What you learn in Theory:
What is the required condition for equality of two vectors?
What you learn in Practice:
Understanding the key difference between scalars and vectors and when are two vectors equal?