\\(\mathbb{R ^ n} = \mathbb{R} \times \mathbb{R} \times \ldots \mathbb{R}\\) is the set of all n-tuples of real numbers. This is n-dimensional Cartesian space.

The members of \\(\mathbb{R^n}\\) are called _vectors_, and \\(\mathbb{R^n}\\) is a _vector space_.

To be more specific, we can refer to the members of \\(R^n\\) as n-vectors.

An n-vector, then, is simply an n-tuple, a list, of n real numbers.