The cross product, we also know as the vector product (or directed area product to underline its geometric relevance), is a binary operation on two vectors in a three-dimensional oriented Euclidean vector space (denoted by the symbol x in this case). The cross product, a b (read “a cross b”), of two linearly independent vectors a and b, is a vector perpendicular to both a and b and so normal to the plane containing both. Mathematics, physics, engineering, and computer programming are just a few fields where we may use them. It is not confusing with the dot item (projection product).

We can calculate the area between any two vectors using the cross-product formula. The magnitude of the resulting vector, which is the area of the parallelogram spanned by the two vectors, is determined by the cross-product formula.