If A and B are two non-empty sets, then their Cartesian product A * B is the set of all ordered pair of elements from A and B

i.e. A * B = {(x, y): x ∈ A, y ∈ B}

Suppose, if A and B are two non-empty sets, then the Cartesian product of two sets,

A and set B is the set of all ordered pairs (a, b) such that a ∈ A and b ∈ B which is denoted as A * B

Ex: If A = {7, 8} and B = {2, 4, 6},then

A * B = {(7, 2), (7, 4), (7, 6), (8, 2), (8, 4), (8, 6)}

The 6 ordered pairs thus formed can represent the position of points in a plane, if a and B are subsets of a set of real numbers.