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Vector products*

Published online by Cambridge University Press:  01 August 2016

F. Gerrish
F. Gerrish*
Affiliation:
43 Roman's Way, Pyrford, Woking GU22 8TR
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Extract

In his thought-provoking Note 82.45 (November 1998) about products of vectors, Bob Ardler asks (p. 454) “Why does dot thrive in n dimensions, but cross only in 3?” and (p. 456) “Which, if any, generalisations of the cross product have been pursued?”

Both of these matters have been treated fairly recently in several journals, including the Gazette, but the subject was first discussed and completely settled in 1942 by B. Eckmann in [1] (see especially pp. 338-339); cf. also [2].

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Type
Articles
Information
The Mathematical Gazette , Volume 84 , Issue 501 , November 2000, pp. 453 - 459
Copyright
Copyright © The Mathematical Association 2000

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Footnotes

*

A small part of the material in this article was offered as a ‘short presentation’ during the 1994 MA Conference at Royal Holloway College.

References

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