what is the definition of cross product?

The pairing all of the elements of one set with all of the elements of another set. A cross product of a set of m elements with a set of n elements yields a set of mxn elements. For example, one might have a set of technologies and a set of applications. A cross product is a representation of each technology with each application. Tables are often a useful way of visualizing a cross product, where elements of the first set are columns, elements of the second set are rows, and each table entry describes some important attribute of the product term.