Is there a connection between cross product and determinant?

kidsasd987 · Sep 29, 2014

Is this just a coincidence that cross product can be found from determinant of 3*3 matrix? what is the differences between wedge product and cross product?Thanks.

Simon Bridge · Sep 30, 2014

Is this just a coincidence that cross product can be found from determinant of 3*3 matrix?

No.
It is another way of writing the definition.

what is the differences between wedge product and cross product?

https://www.physicsforums.com/threads/wedge-product-cross-product.117231/
Basically the wedge product is a generalization of the cross-product to any vector space.

WWGD · Oct 1, 2014

For one, the wedge product is defined on forms, and the cross-product is defined on vectors.

Is there a connection between cross product and determinant?

Discussion

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