Abstract

The ―selectivity‖ of classic vector product operation to the dimension of the corresponding vector space is under consideration. Simple ways are suggested to demonstrate its impracticability for arbitrary dimension. The purpose of the work is to find methodologically convenient ways to make it easier for students of mathematics in the language of basic concepts to make sure that the vector product is ―selective‖ to the dimension of the vector space and to show also the role of model input requirements. As an alternative, a recently published method for obtaining vectors orthogo- nal to a specific pair of initial vectors for any dimension is discussed, and the conditions for its implementation are con- sidered.

Keywords

vector product, dimension of vector space, unit vectors, scalar product. A recently published method for obtaining vectors orthogonal to a particular pair of original vectors is discussed.