= Coordinate
{disambiguate=linear algebra}
{title2=$x_j=b_j^*(x)$}
= Coordinate
{synonym}
= Vector component
{synonym}
= Component of a vector
{synonym}
= Components of a vector
{synonym}
A coordinate of a <vector> in a chosen <basis> is one entry of its <coordinate vector>. The corresponding <coordinate functional> in the <dual basis> extracts it. For an <orthonormal basis>, it can instead be read as an <inner product> with the basis vector, as in <orthonormal eigenbasis>. For a <nonorthogonal> basis, ordinary <dot products> need not give the coordinates.
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