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The cross product of two vectors, A and B, can be represented using summation notation as:

(A x B)i ijk Aj Bk

where i, j, and k are indices representing the components of the resulting vector, and ijk is the Levi-Civita symbol.

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What is the mathematical representation of the cross product in terms of indicial notation?

The mathematical representation of the cross product in terms of indicial notation is ( (A times B)i epsilonijk Aj Bk ), where ( A ) and ( B ) are vectors, ( epsilonijk ) is the Levi-Civita symbol, and ( i, j, k ) are indices representing the components of the resulting vector.


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Related Questions

What is the mathematical representation of the cross product in terms of indicial notation?

The mathematical representation of the cross product in terms of indicial notation is ( (A times B)i epsilonijk Aj Bk ), where ( A ) and ( B ) are vectors, ( epsilonijk ) is the Levi-Civita symbol, and ( i, j, k ) are indices representing the components of the resulting vector.


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