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ON GENERALIZED VECTOR PRODUCTS Introduction The following definition of a vector product is very well-known in geometry. Let R be the field of real numbers, V be n-dimensional oriented vector space over R, and £ : V 2 -• R be a bilinear, symmetric, positive form. An alternating multilinear form (p : V n_1 -> V is called the vector product if the following conditions are satisfied:doi:10.1515/dema-1993-3-425 fatcat:uhswouil7jdf7ftbl3nm2ukvka