If I'm trying to write basic vectors, just as simple as the magnitude being 5 and the direction being zero, how would I do this? Would it be a row vector with parenthesis:$\overrightarrow{v} = (5, 0)$, a row vector with brackets: $\overrightarrow{v} = [5, 0]$, a column vector with parenthesis: $\overrightarrow{v} = \begin{pmatrix} 5\\ 0\\ \end{pmatrix}$, or a column vector with brackets: $\overrightarrow{v} = \begin{bmatrix} 5\\ 0\\ \end{bmatrix}$? Thank you if you can tell me what the correct notation for this simple vector is, everywhere I go seems to write them differently and the inconsistency makes me want to rip my hair out.
[Math] How should I write vectors like this
linear algebranotationvectors
Best Answer
All notation are used and correct depending upon the specific context and convention adopted.
Usually in linear algebra context vectors $\vec v$ are considered colummn vector and transponsed vectors $\vec v^T$ are row vectors that is
$$\overrightarrow{v} = \begin{pmatrix} 5\\ 0\\ \end{pmatrix} \quad \overrightarrow{v^T} = \begin{pmatrix} 5 &0\\ \end{pmatrix}$$