We could repeat the same construction, to get n-dimensional spaces using different kinds of numbers:

* \\(\mathbb{Q}^n\\) = set of all n-tuples of rational numbers = n-dimensional rational Cartesian space

* \\(\mathbb{C}^n\\) = set of all n-tuples of counting numbers = n-dimension complex Cartesian space

\\(\mathbb{R}^n\\), \\(\mathbb{Q}^n\\) and \\(\mathbb{C}^n\\) are examples of vector spaces.

* \\(\mathbb{Q}^n\\) = set of all n-tuples of rational numbers = n-dimensional rational Cartesian space

* \\(\mathbb{C}^n\\) = set of all n-tuples of counting numbers = n-dimension complex Cartesian space

\\(\mathbb{R}^n\\), \\(\mathbb{Q}^n\\) and \\(\mathbb{C}^n\\) are examples of vector spaces.