to a space is a chosen
set of vectors so that any vector 
in the space can be
uniquely expressed in terms of the basis vectors:
A basis to a space is a chosen
set of vectors so that any vector in the space can be
uniquely expressed in terms of the basis vectors:
Example: 
are a basis to coordinate space:
Basis vectors are independent, i.e.
are zero.
So you cannot express one basis vector in terms of the rest.
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