Description
eMath 5: Vectors
- 300-400 assignments + answers, in three levels of complexity
- Numerous example solutions
- Possibility to add comments and highlight text
- Possibility to check the correctness of the calculation
Overview: The book gives an overview of vectors and vector spaces. It explains the basic notion of a vector, how to compute with vectors and how to describe them in a coordinate system. Three-dimensional vectors are also described, together with planes and lines in space.
Table of contents:
1 Preface
2 The Vector Concept
2.1 Vectors
3 Arithmetic Rules for Vectors
3.1 Vector Addition and Subtraction
3.2 Multiplying a Vector by a Number
3.3 Dot Product
4 Vectors in Coordinate Systems
4.1 Position Vectors
4.2 Vector Decomposition
4.3 Base Vectors i and j
4.4 The Direction Vector of a Line
4.5 The Normal Vector of a Line
4.6 The Proportionality Vector
5 Vectors in Space
5.1 Vectors in Three Dimensions
5.2 Addition and Subtraction
5.3 Dot Product
5.4 The Length of a Vector
6 The Plane
6.1 Definition of a Plane
6.2 Normals to a Plane
6.3 The Equation of a Plane
7 Lines in Space
7.1 The Equation of a Line in an xyz -Coordinate System
7.2 The Symmetric Equations of a Line
7.3 A Line and a Plane
