Cross• Cross[a, b] gives the vector cross product of a and b. • If a and b are lists of length 3, corresponding to vectors in three dimensions, then Cross[a, b] is also a list of length 3.
• Cross[a, b] can be entered as a  b, a  cross b or a \[Cross] b. Note the difference between \[Cross] and \[Times].
• Cross is antisymmetric, so that Cross[b, a] is -Cross[a, b].
• In general, Cross[ ,  , ... ,  ] is a totally antisymmetric product which takes vectors of length n and yields a vector of length n that is orthogonal to all of the  .
• See also: Dot.
Examples Using InstantCalculatorsHere are the InstantCalculators for the Cross function. Enter the parameters for your calculation and click Calculate to see the result.
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Entering Commands DirectlyYou can paste a template for this command via the Text Input button on the Cross Function Controller. This defines w to be the cross product of u and v.
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The cross product of two vectors in three dimensions is perpendicular to the two vectors.
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This is the generalized cross product of five vectors in six dimensions.
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Ordinary Mathematical NotationThis also gives the generalized cross product of five vectors in six dimensions.
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Clear the variable definitions.
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