This chapter reviews vector definitions and notation. There are sections on their graphical representation, and how to compute their magnitude, the scalar product, vector product, addition and subtraction, position vectors, unit vectors, Cartesian vectors, normal vectors and vector interpolation. The chapter contains numerous worked examples to develop the reader’s skill so that they are prepared for the chapters on quaternions and multivectors. The chapter contains many illustrations. The chapter concludes with a summary and a list of the vector operations covered.


Unit Vector Cross Product Vector Product Oriented Line Scalar Term 


  1. 2.
    Hamilton, W.R.: Lectures on Quaternions. Hodges and Smith, Dublin (1853) Google Scholar
  2. 3.
    Gibbs, J.W.: Elements of Vector Analysis. Tuttle, Moorehouse & Taylor, New Haven (1884) Google Scholar

Copyright information

© Springer-Verlag London Limited 2011

Authors and Affiliations

  • John Vince
    • 1
  1. 1.Bournemouth UniversityBournemouthUK

Personalised recommendations