Advertisement

Orthogonal Decomposition of a Vector Space

  • Thomas Banchoff
  • John Wermer
Part of the Undergraduate Texts in Mathematics book series (UTM)

Abstract

Let П be a plane through the origin in ℝ3, and let L be the line through the origin that is orthogonal to П. Then every vector X in ℝ3 can be expressed in the form
$$ X\;{\rm{ = }}\;U\;{\rm{ + }}\;V, $$
(11)
where U ∈ П and VL.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag New York, Inc. 1992

Authors and Affiliations

  • Thomas Banchoff
    • 1
  • John Wermer
    • 1
  1. 1.Department of MathematicsBrown UniversityProvidenceUSA

Personalised recommendations