A Cartesian Product of two #202204281446 \(A\) and \(B\), is the set of all #202204281552 \((a, b)\) where \(a \in A\) and \(b \in B\). It is denoted as \(A \times B\) which read as “A cross B”. This could be expressed in 202204281700# as \(A \times B = \{(a, b) \in S|a \in A \ \text{and}\ b \in B\}\).
Note: The number of elements of set \(A \times B\) is the product of the number of elements of set \(A\) and \(B\). (\(n(A \times B) = n(A) \cdot n(B)\))
The Cartesian Product of two \(\mathbb{R}\) (from 202204281506#) could be displayed in 202204281721# as a coordinate.