special vector denote by Zero having extra line

Question

I want to show the vector of (0,0,...,0) by 0 that have extra line. How can I do it? I want to use this vector as special. so I use a lot of this notation.

I currently denote the vectors

$(0,0,\dots‎ ,‎0)\in ‎\mathbb{R}^{n}‎$ 

by ‎$‎‎\mathbb{O}$. I am looking for a better solution.

Answer 1

There are several types of matrixes like bmatrix, pmatrix https://www.overleaf.com/learn/latex/Matrices

There are four types of dots: – ldots horizontal dots on the line – cdots horizontal dots above the line – vdots vertical dots – ddots diagonal dots

And you need vdots vertical dots.

\documentclass{article}
\usepackage{amsmath}
\usepackage{mathtools}
\begin{document}
$
\begin{pmatrix}
0 & 0 & \ldots & 0
\end{pmatrix}
\in {R}^{n}
$
\end{document}

Answer 2

I would like to suggest that you apply whatever notational convention you've been following so far in your paper(s) to denote vectors to the zero-vector as well. E.g., if you write \vec{v} or \mathbf{v} -- to mention just two well-established vector-related notational conventions -- to denote that u and v are vectors, then just write either \vec{0} or \mathbf{0} to denote that 0 is a vector (an n-tuple, to be specific) and not a scalar.

Oh, and do be careful with writing a (row) vector as (0,0,\dots‎ ,‎0): This notation is more commonly encountered for typesetting sequences of numbers, not vectors. Thus, do consider replacing (0,0,\dots‎ ,‎0) with \begin{pmatrix} 0 & 0 & \dots & 0 \end{pmatrix}.

Observe the use of ' to denote transposition.

\documentclass{article}
\usepackage{mathtools,amssymb}
\begin{document}
$\begin{pmatrix} 0 & 0 & \dots & 0 \end{pmatrix}' = \vec{0} = \mathbf{0}$
\end{document}