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on a bolt being turned by a wrench, or the Lorentz force on an electron travelling through a magnetic field.

In function language, the cross product is a function .

The components of the cross product are $\backslash mathbf\{Atimes\backslash mathbf\{B\}\; =\; [A\_2\; B\_3\; -\; B\_2\; A\_3,\; A\_3\; B\_1\; -\; B\_3\; A\_1,\; A\_1\; B\_2\; -\; B\_1\; A\_2]$,}} and can also be written in components, using Einstein summation convention as where is the Levi-Civita symbol.

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