How to use inner product〈a, b〉in LaTeX?

By William / Tutorials / October 28, 2023

Introduction Install latex editor Create first document Craete first document \documentclass command Insert package in doc Text and paragraph formatting Text bold Text italic Text underline Line Breaks Text Alignment Paragraph Indent Section and Chapter Latex section Latex subsection Latex chapter Add style in section Insert list Oderd list Unordered list Nested list Multicolumn list Add style on list Insert figure or image Insert image Change size of figure Add caption and subcaption Add border or frame around figure Insert figures in multicolumn layout Insert rotating figures with caption Insert table in document Insert table Caption and subcaption Adjust column width and row height Merge columns Merge rows Change border style Rotating table with caption Color table

Symbol	Inner product
Type of symbol	Mathematics
Package (requirement)	No
Argument	Yes
Latex command	`\langle arg1,arg2 \rangle`
Example	`\langle arg1,arg2 \rangle` → 〈arg1,arg2〉

Use langle and rangle command in LaTeX

We have to use an angle bracket for the inner product. You can use the \langle arg1,arg2 \rangle command for this but if the equation is borough size then I will not recommend this command.

In the excerpt below, you can see that the size of the angle bracket in the fraction is not adjusting properly.

\documentclass{article}
\begin{document}
   \[ \langle u , \; v \rangle \]
   \[ \langle \frac{1}{n} u , \; \frac{2}{n} v \rangle \]
\end{document}

Output :

Use adjustable inner product symbol

You need to use the \left\langle arg1,arg2 \right\rangle command to automatically adjust the angle bracket according to the size of the equation.

\documentclass{article}
\begin{document}
   \[ \left \langle \frac{1}{n} u , \; \frac{2}{n} v \right \rangle \]
   \[ \left \langle \frac{1}{b_i} , \; \frac{2}{b_j} \right \rangle \]
\end{document}

Output :

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