intro:
$\left[\begin{array}{lll}x & x & x\end{array}\right] \rightarrow$ element amount $(n)=n$ dimension
$\mathbb{R}^n$ (e.g. n = 3 3 Dimension)
vector -magnitude -direction
multiple vector
$\left[n_1 m_1\right]+\left[n_2 m_2\right]=\left[n_1+n_2 m_1+m_2\right]$
$$
\vec{v}=\vec{a}+\vec{b} \vec{v} \cdot \cos \theta=\vec{b} \vec{v} \cdot \sin \theta=\vec{a}
$$
$$
unit vector\vec{i}=\left[\begin{array}{ll}1 & 0\end{array}\right] \vec{j}=\left[\begin{array}{ll}0 & 1\end{array}\right]
$$
