A basis vector in an 
-dimensional vector space is one of any chosen set of 
vectors in the space forming a vector basis, i.e., having the property that every vector in the space can be written uniquely as a linear combination of them.
For example, in the Euclidean plane, the unit vectors 
and 
form a vector basis since for any point 
,
 |
so for this basis, 
and 
are basis vectors
