This e-book describes what vectors are and how to add, subtract and multiply them by scalars.. The article provides a summary of the elementary ideas about vectors usually met in high school mathematics. The follow-up article 'Multiplication of Vectors' discusses scalar products and vector products. Vectors are an absolutely essential 'tool' in physics and a very important part of mathematics. Vectors are important in navigation where the actual velocity of an aeroplane relative to the earth is given by the combined velocities of the wind.
In this e-book, we will answer the following questions:
1. What is a vector?
2. What is a column vector?
3. What is the magnitude of a vector?
4. What are equal vectors?
5. What are parallel vectors?
6. What are unit vectors?
7. What are vectors in 2-D space?
8. What are vectors in 3-D space?
9. The algebra of vectors