Vector
A member of a vector space denoted1
\begin{equation*} \vec{v} = \begin{pmatrix} v_1 \\ \vdots \\ v_n \end{pmatrix} \in V^n, \end{equation*}given
\begin{equation*} \forall i : v_i \in F, \quad \end{equation*}| where | \(v_i\) | is the \(i\)-th scalar component of \(\vec{v}\), |
| \(V^n\) | is the vector space with \(\vec{v}\), and | |
| \(F\) | is the field over which \(V^n\) is defined. |
Footnotes:
1
Also denoted with the square brackets,
\begin{equation*} \vec{v} = \begin{bmatrix} v_1 \\ \vdots \\ v_n \end{bmatrix}. \end{equation*}