NOTE 1 Instead of treating each component of a vector quantity as a quantity (i.e. the product of a numerical value and a unit of measurement), the vector quantity Q may be represented as a vector of numerical values multiplied by the unit:
$Q=\left\{Q_1\right\}\left[Q\right]e_1+\left\{Q_2\right\}\left[Q\right]e_2+\left\{Q_3\right\}\left[Q\right]e_3=\left(\left\{Q_1\right\}{e}_1+\left\{Q_2\right\}{e}_2+\left\{Q_3\right\}{e}_3\right)\left[Q\right]$
where $\left\{Q_1\right\},\left\{Q_2\right\},\left\{Q_3\right\}$ are numerical values, $\left[Q\right]$ is the unit, and $e_1\text{, }{e}_2\text{, }{e}_3$ are the unit vectors. Similar considerations apply to tensor quantities.

NOTE 2 The components of a vector quantity are transformed by a coordinate transformation like the coordinates of a position vector.

NOTE 3 The term "coordinate" is generally used when the vector quantity is a position vector. This usage is consistent with the definition of the coordinates of a vector in mathematics (102-03-09).