释义 |
Cross ProductFor Vectors and ,
 | (1) |
This can be written in a shorthand Notation which takes the form of a Determinant
 | (2) |
It is also true that
where is the angle between and , given by the Dot Product
 | (5) |
Identities involving the cross product include
 | (6) |
 | (7) |
 | (8) |
 | (9) |
For a proof that is a Pseudovector, see Arfken (1985, pp. 22-23). In Tensornotation,
 | (10) |
where is the Levi-Civita Tensor.See also Dot Product, Scalar Triple Product References
Arfken, G. ``Vector or Cross Product.'' §1.4 in Mathematical Methods for Physicists, 3rd ed. Orlando, FL: Academic Press, pp. 18-26, 1985.
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