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replace \cr with \\
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Affected files:
Mathematics/Linear Algebra/Vectors.md
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OdyAsh committed Nov 4, 2023
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Showing 1 changed file with 3 additions and 3 deletions.
6 changes: 3 additions & 3 deletions Mathematics/Linear Algebra/Vectors.md
Original file line number Diff line number Diff line change
Expand Up @@ -9,9 +9,9 @@ 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)
* It has the following notation: $\vec{v}=\left(5,0\right)=\begin{bmatrix} 5 \cr 0 \end{bmatrix}$
* It has the following notation: $\vec{v}=\left(5,0\right)=\begin{bmatrix} 5 \\ 0 \end{bmatrix}$
Again:
$$\vec{v}=\left(5,0\right)=\begin{bmatrix}5\cr0\end{bmatrix}$$
$$\vec{v}=\left(5,0\right)=\begin{bmatrix}5\\0\end{bmatrix}$$
* $5$ 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.
Expand All @@ -21,7 +21,7 @@ again:

$\vec{v}=\left(5,0\right)=\begin{bmatrix}5\cr0\end{bmatrix}$
Again:
$$\vec{v}=\left(5,0\right)=\begin{bmatrix} 5 \cr 0 \end{bmatrix}$$
$$\vec{v}=\left(5,0\right)=\begin{bmatrix} 5 \\ 0 \end{bmatrix}$$

$$\vec{v}=\left(5,0\right)=\left[\begin{array}{l}{5}\cr{0}\end{array}\right]$$

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