## Vector

vector

$\vec{ a }$

\vec{ a }

The symbol "vector" is derived from the vectors.

vector 2

$\overrightarrow{ AB }$

\overrightarrow{ AB }

To place an arrow above multiple characters, the notation "overrightarrow" is used (over + right + arrow).

vector bold

$\boldsymbol{ A }$

\boldsymbol{ A }

Bold symbols, denoted using "boldsymbol," are sometimes used to represent vectors.

row vector

$( a_1, a_2, \ldots, a_n )$

( a_1, a_2, \ldots, a_n )
column vector

$\left( \begin{array}{c} a_1 \\ a_2 \\ \vdots \\ a_n \end{array} \right)$

\left(
\begin{array}{c}
a_1 \\
a_2 \\
\vdots \\
a_n
\end{array}
\right)
vector sample

$\begin{eqnarray} \boldsymbol{ 1 } =( \underbrace{ 1, 1, \ldots, 1 }_{ n } )^{ \mathrm{ T } } =\left( \begin{array}{c} 1 \\ 1 \\ \vdots \\ 1 \end{array} \right) \end{eqnarray}$

\begin{eqnarray}
\boldsymbol{ 1 }
=( \underbrace{ 1, 1, \ldots, 1 }_{ n } )^{ \mathrm{ T } }
=\left(
\begin{array}{c}
1 \\
1 \\
\vdots \\
1
\end{array}
\right)
\end{eqnarray}
unit vector sample

$\boldsymbol{ \rm{ e } }_k =( 0, \ldots, 0, \stackrel{k}{ 1 }, 0, \ldots, 0 )^{\mathrm{T}}$

\boldsymbol{ \rm{ e } }_k
=( 0, \ldots, 0, \stackrel{k}{ 1 }, 0, \ldots, 0 )^{\mathrm{T}}
norm

$\| x \|$

\| x \|

Combining the backslash "\" and the vertical bar "|" creates a double vertical line symbol "\\."

norm 2

$\require{physics} \norm{ \dfrac{1}{2} }$

\require{physics} \norm{ \dfrac{1}{2} }

By using the "physics" extension, the command "\norm" can be used to create double vertical lines, representing the norm. The length of the vertical lines adjusts automatically based on the size of the contents within them.

inner product

$\vec{ a } \cdot \vec{ b }$

\vec{ a } \cdot \vec{ b }
cross product

$\vec{ a } \times \vec{ b }$

\vec{ a } \times \vec{ b }
Formula
Symbol
Text
Other