In linear algebra, a Coordinate vector is a representation of a vector as an ordered list of numbers that describes the vector in terms of a particular ordered Basis.
\(\begin{bmatrix}\vec{v}\end{bmatrix}_B\) denotes the coordinate vector \(\vec{v}\) relative to the basis \(B\).
Bibliography
“Coordinate Vector.” 2022. Wikipedia, August. https://en.wikipedia.org/w/index.php?title=Coordinate_vector&oldid=1105580540.