a standard way of combining two vectors to create a third, perpendicular to the first two
A procedure for combining the elements in multiple sets. For example, given two columns, each element of the first column is matched with every element of the second column. A simple example is illustrated as follows: Col1 Col2 Cross Product ---- ---- ------------- a c ac b d ad bc bd Cross products are performed when grouping sets are concatenated, as described in Chapter 20, " SQL for Aggregation in Data Warehouses".
The pairing all of the elements of one set with all of the elements of another set. A cross product of a set of elements with a set of elements yields a set of 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.
A form of vector multiplication, where two vectors are multiplied to produce a third vector. The cross product of two vectors, and , separated by an angle, , is , where is a unit vector perpendicular to both and . To deine which direction points, you must use the right-hand rule.
In mathematics, the cross product is a binary operation on vectors in a three-dimensional Euclidean space. It is also known as the vector product or outer product, and is closely related to the exterior product. It differs from the dot product in that it results in a vector rather than in a scalar.