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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 

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References

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