1. 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)

2. vector -magnitude -direction

3. multiple vector

   $\left[n_1 m_1\right]+\left[n_2 m_2\right]=\left[n_1+n_2 m_1+m_2\right]$

$$\vec{v}=\vec{a}+\vec{b} \vec{v} \cdot \cos \theta=\vec{b} \vec{v} \cdot \sin \theta=\vec{a}$$
$$unit vector\vec{i}=\left[\begin{array}{ll}1 & 0\end{array}\right] \vec{j}=\left[\begin{array}{ll}0 & 1\end{array}\right]$$

Author: o_oyao

Link: http://dyingdown.github.io/2019/09/03/vectors-and-spaces/

License: All articles in this blog are licensed under CC BY-NC-SA 4.0 unless stating additionally.