Open Internet by MindsNet

Extending Cross Product to Higher Dimensions

The challenge is to find a general method for extending the cross product operation to higher dimensions beyond three, while maintaining its key properties. The author is struggling to prove the existence of scalars for an n-dimensional cross product using the determinant method via cofactor expansion. The challenge involves finding a theorem or approach that can simplify the computation and prove the result for all dimensions n > 1.

Mathematics & logic, Mathematics, Calculus