An ordered pair \((a, b)\) is a pair of objects or a #202204281446 of two sets that is ordered, as defined by Kuratowski \(\{\{a\}, \{a, b\}\}\).
Since the sequence is important for an ordered pair, an ordered pair \((a, b)\) is equal to another ordered pair \((c, d)\), if and only if \(a = c\) and \(b = d\).
Relation is a #202204281446 of #202204281552 \((a, b)\) where \(a \in A\) and \(b \in B\) assuming that \(A\) and \(B\) are sets, which \(a\) is related to \(b\), denoted \(a R b\). In this sense, \(A\) is the domain of this relation and \(B\) is the co-domain. We could say that it is a relation from A to B.
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 \(A \times B = \{(a, b) \in S|a \in A \ \text{and}\ b \in B\}\).
Cartesian Plane is a coordinate system which use 202204281552# \((x, y)\) where both \(x\) and \(y\) are real numbers to indicate horizontal position (usually \(x\)) and vertical position (usually \(y\)) of a point.