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Vectors

Castro José, Dec 20, 2020

Livret introductif aux vecteurs

Introduction
1. Vectors: Introduction (1)
2. Vectors: Magnitude & Direction (I)
Opérations sur les vecteurs
1. How to add vectors geometrically
2. Quiz Practise: Vector Addition
3. How to subtract vectors geometrically:
4. Quiz: Vector subtraction
5. How to multiply a vector by a scalar:
Relation de Chasles
1. Charles Relation Animation
2. Relation de Chasles. Vecteurs.
Application
1. Inclined Plane: An example of how vectors can be useful:

Information

Introduction

1. Vectors: Introduction (1)
2. Vectors: Magnitude & Direction (I)

Vectors: Introduction (1)

Recall a VECTOR is a quantity with both MAGNITUDE and DIRECTION. The applet below illustrates how we GEOMETRICALLY represent a vector. Interact with this applet for a few minutes. Then, complete the investigation questions you received at the beginning of class.

1.2.

2.

Opérations sur les vecteurs

1. How to add vectors geometrically
2. Quiz Practise: Vector Addition
3. How to subtract vectors geometrically:
4. Quiz: Vector subtraction
5. How to multiply a vector by a scalar:

2.1.

How to add vectors geometrically

Students: This applet will help you discover how we geometrically add any 2 vectors. This applet also accompanies the Adding Vectors: Introduction packet you received at the beginning of class. To Use: 1) Determine the components of vectors u and v by using the purple and green sliders. 2) Slide the black slider (bottom right) to geometrically form vectors u and v. 3) Move the YELLOW POINT (initial point of v) ON TOP OF the ORANGE POINT (terminal point of u). 4) Slide the additional slider that appears once you complete step (3). The vector that appears will be the the RESULTANT VECTOR. In this case, the RESULTANT VECTOR is the sum of vectors u and v.

Quick (Silent) Demo

2.2.

2.3.

2.4.

2.5.

3.

Relation de Chasles

1. Charles Relation Animation
2. Relation de Chasles. Vecteurs.

3.1.

Charles Relation Animation

3.2.

4.

Application

1. Inclined Plane: An example of how vectors can be useful:

4.1.

Inclined Plane: An example of how vectors can be useful:

Vectors can be used to represent many things. However, vectors in physics are mainly used to represent forces and by doing this it enables us to use mathematics to describe physics phenomena. Here's an example. A body that glides through an incline plane. By clicking the "Show Free Body Diagrams" you can the the vectorial representation of the problem.

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