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trying latex from codecogs.com
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Mathematics/Linear Algebra/Media-Temp/Pasted image 20231104130736.png
Mathematics/Linear Algebra/Vectors.md
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OdyAsh committed Nov 4, 2023
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2 changes: 1 addition & 1 deletion .obsidian/appearance.json
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4 changes: 2 additions & 2 deletions .obsidian/workspace.json
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2 changes: 1 addition & 1 deletion Mathematics/Linear Algebra/Vectors.md
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Expand Up @@ -10,7 +10,7 @@ Basic vector characteristics:
* Intuitive example ([source](https://www.khanacademy.org/math/linear-algebra/vectors-and-spaces/vectors/v/vector-introduction-linear-algebra)):
![](Attachments%20-%20Vectors/Pasted%20image%2020231104130417.png)
* It has the following notation:
* $$\vec{v}=\left(5,0\right)=\left[\begin{array}{l}{5}\cr{0}\end{array}\right]$$
<br><img src="https://latex.codecogs.com/svg.image?\vec{v}=\left(5,0\right)=\left[\begin{array}{l}{5}\cr{0}\end{array}\right]"/>
* $5$ and $0$ are called ***components*** of a vector, while $(5,0)$ is called a ***2-tuple*** in a 2-D real coordinate space $\left(\mathbb{R}^2\right)$ ([source](https://www.khanacademy.org/math/linear-algebra/vectors-and-spaces/vectors/v/real-coordinate-spaces)).
* Side note 1: $\mathbb{R}^2$ is also called a ***set***, such that $\vec{v}\in\mathbb{R}^2$ is called " vector $\vec{v}$ belongs in the set $\mathbb{R}^2$ "
* Side note 2: it can also be represented using unit vectors $i$ and $j$ , as explained in the [Unit vector](#Unit%20vector) section.
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