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attempt: removing \left and \right
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Mathematics/Linear Algebra/Vectors.md
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OdyAsh committed Nov 4, 2023
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Expand Up @@ -9,7 +9,7 @@ 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.png]]
* It has the following notation: $\vec{v}=\left(5,0\right)=\left[\begin{array}{c}{5}\cr{0}\end{array}\right]$
* It has the following notation: $\vec{v}=\left(5,0\right)=[\begin{array}{c}{5}\cr{0}\end{array}]$
* $5$ 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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