# Are euclidian vectors and unit vectors same thing? [closed]

Consider this statement : Let the field K be the set R of real numbers, and let the vector space V be the Euclidean space R3. Consider the vectors e1 = (1,0,0), e2 = (0,1,0) and e3 = (0,0,1). Then any vector in R3 is a linear combination of e1, e2 and e3.

## closed as off-topic by David Masip, Toros91, Stephen Rauch♦, Icyblade, AdityaJun 2 '18 at 1:49

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• This question should be migrated to Mathematics. – JahKnows May 30 '18 at 8:54

Given the statement above we can conclude that any Euclidean vector in $\mathbb{R}^3$ can be described by the unit vectors $e_1, e_2, e_3$. These span the space.