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# Latex orthogonal symbol - Latex perpendicular symbol

How to make the orthogonal symbol in LaTeX ?
How to make the perpendicular symbol in LaTeX ?
Here are some examples using the \perp command.

## Orthogonality of two vectors: orthogonal symbol in Latex

Let $u$ and $v$ be two vectors, to express that $u$ and $v$ are orthogonal, we can write :

$$u \perp v$$

$$$$u \perp v$$$$

## Orthogonality of a line and a vector: orthogonal symbol in Latex

Let $w$ be a vector and $d$ a line, to express that $w$ is orthogonal to $d$, we can write :

$$w \perp \bar{d}$$

$$$$w \perp \bar{d}$$$$

## Orthogonality in the Hilbert sense: orthogonal symbol in Latex

In addition to the previous cases, it is also possible to express orthogonality in the Hilbert sense. Given two vectors $x$ and $y$, to express that $x$ and $y$ are orthogonal in the Hilbert sense, we can write the scalar product :

$$\langle x, y \rangle = 0$$

$$$$\langle x, y \rangle = 0$$$$

where $\langle \cdot, \cdot \rangle$ represents the scalar product of two vectors.