Vector product of vector products

Sands, D. E.

doi:10.1107/97809553602060000559

International
Tables for
Crystallography
Volume B
Reciprocal space
Edited by U. Shumeli

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International Tables for Crystallography (2006). Vol. B. ch. 3.1, p. 349 | 1 | 2 |

Section 3.1.8.3. Vector product of vector products

D. E. Sands^a ^*

^a Department of Chemistry, University of Kentucky, Chemistry–Physics Building, Lexington, Kentucky 40506-0055, USA
Correspondence e-mail: sands@pop.uky.edu

3.1.8.3. Vector product of vector products

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$[\eqalignno{ ({\bf u} \wedge {\bf v}) \wedge ({\bf w} \wedge {\bf z}) &= ({\bf u} \cdot {\bf w} \wedge {\bf z}) {\bf v} - ({\bf v} \cdot {\bf w} \wedge {\bf z}) {\bf u} &(3.1.8.4) \cr ({\bf u} \wedge {\bf v}) \wedge ({\bf w} \wedge {\bf z}) &= ({\bf u} \cdot {\bf v} \wedge {\bf z}) {\bf w} - ({\bf u} \cdot {\bf v} \wedge {\bf w}) {\bf z.} &(3.1.8.5)}%(3.1.8.5)]$

References

International Tables for Crystallography (2006). Vol. B. ch. 3.1, p. 349