The simplest example of a vector space over a field F is the field F itself with its addition viewed as vector addition and its multiplication viewed as scalar multiplication. More generally, all n -tuples (sequences of length n) ( a 1 , a 2 , … … , a n ) of elements a i of F form a vector space that is usually denoted F and called a coordinate space. The case n = 1 is the above-mentioned simplest example, in which the field F is also regarded as a vector space over itself. The case F = R and n = 2 (so R) reduces to the previous example.