Hostname: page-component-cd9895bd7-jkksz Total loading time: 0 Render date: 2024-12-29T09:11:12.887Z Has data issue: false hasContentIssue false

The Representation of Lines by Dual Vectors

Published online by Cambridge University Press:  03 November 2016

M. S. P. Eastham*
Affiliation:
The University, Reading, Southampton

Extract

In Note 2968 a definition of dual numbers a1 + ∊a2, where a1 and a2 are real numbers and ∊2 is put equal to zero whenever it occurs, is given. Similarly, dual vectors are expressions q1 + ∊q2, where q1 and q2 are ordinary three-component vectors (see [1]). The dual vector q1 + ∊q2 is said to be proper if |q1| 0, and normal if |q1| = 1, q1 . q2 ≠ 0.

Type
Research Article
Copyright
Copyright © Mathematical Association 1965 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Todd, J A., Dual vectors and the Petersen-Morley theorem, The Mathematical Gazette XX (1936) 184–5.Google Scholar