# If R is the set of all real numbers, what do the Cartesian products R $times$ R and R $times$ R $times$ R represent?

The Cartesian product R $\times$ R represents the set R $\times$ R={(x, y) : x, y $in$ R} which represents the coordinates of all the points in two dimensional space and the cartesian product R $\times$ R $\times$ R represents the set R $\times$ R $\times$ R ={(x, y, z) : x, y, z $\in$ R} which represents the coordinates of all the points in three-dimensional space.