LaTeX

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Snippets

$\color{orange}t\in R3$

$t\in R3$

$\vec t\in R^3$

$\overrightarrow{t}\in R^3$

Square root

$\lVert\vec a\rVert=\sqrt{a_1^2+a_2^2+\ldots+a_n^2}$

$\Vert \overrightarrow{a}\Vert =\sqrt{a_1^2+a_2^2+\dots +a_n^2}$

Fracture and big brackets

$\phi=\arccos\bigg(\frac{\vec a\cdot\vec b}{\lVert\vec a\rVert\cdot\lVert\vec b\rVert}\bigg)$

$\varphi =\arccos (\frac{\overrightarrow{a}\cdot \overrightarrow{b}}{\Vert \overrightarrow{a}\Vert \cdot \Vert \overrightarrow{b}\Vert })$

Matrix/array

$\vec c=\vec a+\vec b=\begin{pmatrix}a_1+b_2\\a_2+b_2\\\ldots\\a_n+b_n\end{pmatrix}$

$\overrightarrow{c}=\overrightarrow{a}+\overrightarrow{b}=\left(\begin{array}{c}{a}_1+b_2\\ a_2+b_2\\ \dots \\ a_n+b_n\end{array}\right)$

$\vec i=\begin{pmatrix}1\\0\\0\end{pmatrix},\vec j=\begin{pmatrix}0\\1 \\0\end{pmatrix},\vec k=\begin{pmatrix}0\\0\\1\end{pmatrix}$

$\overrightarrow{i}=\left(\begin{array}{c}1\\ 0\\ 0\end{array}\right),\overrightarrow{j}=\left(\begin{array}{c}0\\ 1\\ 0\end{array}\right),\overrightarrow{k}=\left(\begin{array}{c}0\\ 0\\ 1\end{array}\right)$

$\vec i=\begin{array}{}1\\0\\0\end{array},\quad\vec j=\begin{matrix}0\\1 \\0\end{matrix},\quad\vec k=\begin{pmatrix}0\\0\\1\end{pmatrix}$

$\overrightarrow{i}=\begin{array}{}1\\ 0\\ 0\end{array},\overrightarrow{j}=\begin{array}{c}0\\ 1\\ 0\end{array},\overrightarrow{k}=\left(\begin{array}{c}0\\ 0\\ 1\end{array}\right)$

Array with alignment

$\Bigg\{\begin{array}{rcl}100.45&1.44&212.4\\30.32&77.0&99.44\\433.42&787.1&99.441\end{array}\Bigg\}$

$\{\begin{array}{rcl}100.45& 1.44& 212.4\\ 30.32& 77.0& 99.44\\ 433.42& 787.1& 99.441\end{array}\}$

Sum

$\sum_{j=0}^7j^2\pi$

$\sum _{j=0}^7{j}^2\pi$

Math Calligraphy

$\langle\,\mathcal{hello,\,HELLO}\,\rangle$

$⟨\mathcal{hello}\mathcal{,}\mathcal{HELLO}⟩$

Dots

$\ldots\,\,\vdots$

$\dots ⋮$

Spacing

$x\!y$

$xy$

$\xy$

$xy$

$x\,y$

$xy$

$x\:y$

$xy$

$x\;y$

$xy$

$x\quad y$

$xy$

$x\quad y$

$xy$

Splitting

$$\begin{split}
Area & = \frac{length \times breadth }{2} \\
     & = \frac{1}{2} length \times breadth
\end{split}$$

Align multiple equations

$$\begin{align*}
5x - 1y &=  3 \\
3x + 7y &=  2
\end{align*}$$

Align in columns

$$\begin{align*}
y&=x            &  a &=z              &  b&=a+c\\
5x&=y           &  4z&=\frac{4}{2}z   &  z&=y\\
4 + 2x&=1+y     &  q+2&=4+a           &  we&=cd\\
x&=y            &  q &=a              &  c&=a+b\\
\end{align*}$$

Centering

$$\begin{gather*}
5x^2 - 15y =  8 \\
3x^2 + 9y =  7
\end{gather*}$$