Basis Vector

A basis vector in an n-dimensional vector space is one of any chosen set of n 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 e^->_1=(1,0) and e^->_2=(0,1) form a vector basis since for any point (x,y),


so for this basis, e^->_1 and e^->_2 are basis vectors

See also

Change of Basis, Vector, Vector Basis, Vector Space

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Cite this as:

Weisstein, Eric W. "Basis Vector." From MathWorld--A Wolfram Web Resource.

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