1. Introduction
2. Vector Space – Definitions, Notation and Examples
3. Three – dimensional Vector Space V
3.1 Definition and Basic Features of V
3.2 Multiplication of a Vector by a Scalar
3.3 Collinear and Coplanar Vectors
3.4 Addition of Vectors
3.5 Basis of a Vector Space
4. Vectors in R^3 Space
4.1 {i,j,k} - basis of R^3 Space
4.2 Multiplication by a Scalar and Addition of Vectors in R^3 Space
4.3 Scalar (dot) Product of Vectors
4.4 Cross (vector) Product of Vectors
4.5 Mixed Product of Vectors
4.6. Triple Cross Product of Vectors
4.7 The Quadruple Dot - Quadruple Cross Product
5. Elements of Analytic Geometry
5.1 Some Preliminary Remarks
5.2 Equations of a Line
5.3 The Angle Between Two Lines
5.4 The Distance Between Two Lines
5.5 Equations of a Plane
5.6 Angle Between two Planes
Appendix A
Appendix B
Appendix C
Biography
Vladimir Lepetic is Professor in the Department of Mathematical Sciences, DePaul University. Research interests include mathematical physics, set theory, foundation and philosophy of mathematics.
