Module 2: Vectors and Geometry

Module 2: Math Review

Introduction

Mathematics is the language of science. The mathematical structure of physics will be evident in the equations encountered in this book. This course does not involve a great deal of arithmetic which would distract you from the understanding of scientific principles, but mathematics is inevitable for learning a science. Any course that does not use mathematics is only a course about science.

Learning Objectives

Upon completion of this module, students will be able to: 

  • Define what a vector is.
  • Distinguish between a scalar and a vector.
  • Identify what measurements are vectors.
  • Draw examples of vectors.
  • Identify when to use the Pythagorean theorem.
  • Create visualizations of vectors.
  • Identify sines and cosines on a defined triangle.
  • Add any two defined vectors by components.
  • Express understanding of vectors with the use of practical examples.

To Do List

1. Watch the Video Lectures (links below)
2. Complete the Practice Problems (links below)
3. Take the Module 2 Quiz
4. Complete the Exam Practice Problems for Module 2

Lessons

Lesson 2.1 Vectors

Scalar and vector quantities are differentiated and the addition of vectors is shown visually. Special cases of parallel and right-angle vector addition are emphasized.

Lesson 2.2 Right Triangle Geometry

Sines and cosines are reviewed. This is one topic where calculators may be needed.

Lesson 2.3 Vector Components

By understanding how vectors can be divided into two components, and by understanding sines and cosines, we see how to add any two defined vectors whatever their relative angle.

Quiz

Once you have watched the lectures and completed the practice problems, you should demonstrate your understanding by taking the Module 2 Quiz. Be sure to submit the quiz before its deadline.

Coming Up

In the next module we will learn about the Description of Motion and Falling Bodies.