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.obsidian/workspace.json
Mathematics/Linear Algebra/Attachments - Vectors/Pasted image 20231104110053.png
Mathematics/Linear Algebra/Attachments - Vectors/Pasted image 20231104112518.png
Mathematics/Linear Algebra/Attachments - Vectors/Pasted image 20231104112617.png
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Mathematics/Linear Algebra/Media-Temp/Pasted image 20231104093754.png
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Mathematics/Linear Algebra/Vectors.md
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OdyAsh committed Nov 4, 2023
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11 changes: 5 additions & 6 deletions .obsidian/workspace.json
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8 changes: 4 additions & 4 deletions Mathematics/Linear Algebra/Vectors.md
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Basic vector characteristics:
* It is something that has a magnitude and a direction.
* Intuitive example ([source](https://www.khanacademy.org/math/linear-algebra/vectors-and-spaces/vectors/v/vector-introduction-linear-algebra)):
![Pasted image 20231103144158](Attachments%20-%20Vectors/Pasted%20image%2020231103144158.png)
![](Attachments%20-%20Vectors/Pasted%20image%2020231104130417.png)
* It has the following notation:
* $$\vec{v}=\left(5,0\right)=\left[\begin{array}{l}{5}\cr{0}\end{array}\right]$$
* $5$ 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)).
Expand All @@ -33,10 +33,10 @@ Formula of a scalar-multiplied vector's magnitude: $||c\cdot \vec v||=|c|\cdot |
To get the reverse direction of a vector, add 180 to its direction.

Example ([source](https://www.khanacademy.org/math/linear-algebra/vectors-and-spaces/vectors/e/scaling_vectors)):
![](Media-Temp/Pasted%20image%2020231104110053.png)
![](Attachments%20-%20Vectors/Pasted%20image%2020231104110053.png)
Answer:
![](Media-Temp/Pasted%20image%2020231104112518.png)
![](Media-Temp/Pasted%20image%2020231104112617.png)
![](Attachments%20-%20Vectors/Pasted%20image%2020231104112518.png)
![](Attachments%20-%20Vectors/Pasted%20image%2020231104112617.png)


## Unit vector
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