Introduction
Chapter Name : Vector Algebra |
Sub Topic Code : 104_12_10_01_01 |
Topic Name : Introduction |
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Sub Topic Name : Introduction |
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Introduction
A scalar is a quantity which can be described by a single number, unlike vectors, tensors, etc. which are described by several numbers which describe magnitude and direction. A vector is a geometric object that has magnitude and direction and can be added to other vectors according to vector algebra.
Pre-Requisites:
• Coordinate Axes • Geometry Basics • Knowledge of displacement, force, pressure, acceleration etc.
Activity:
Observe the direction and force you apply when you open a door/ push a chair/open a can of Jam. Also, observe the acceleration of your car/bus while driving to school.
Real Life Question:
How should a football player hit the ball to give a pass to another player of his team?
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| Scalar Quantity | A scalar is a quantity which can be described by a single number, unlike vectors, tensors, etc which are described by several numbers which describe magnitude and direction. |
| Vector Quantity | A vector is a geometric object that has magnitude and direction and can be added to other vectors according to vector algebra. |
| Magnitude | Magnitude is a term for the size or length of a vector. |
| Direction | It is the Relative direction, for instance left, right, forward, backwards, up, and down. |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|
Real life uses :
Vector algebra helps us solve complex trigonometric and geometric problems. It is used extensively in computational mechanics. The vector Algebra biquaternions and hyperbolic quaternions enabled the revolution in physics called special relativity by providing mathematical models.
Practical examples around us
| Examples | Explainations |
|---|---|
| Breathing | Your diaphragm muscles exert a force that has a magnitude and direction. |
| Walking | You walk at a velocity of around 6 km/h in the direction of your park. |
What you learn in Theory:
We learn about scalars and vectors and their applications.
What you learn in Practice:
We observe how and why the concept of vectors is applied in our daily lives.