# Symbols:Vector Algebra

## Vector Cross Product

- $\times$

$\mathbf x \times \mathbf y$ means the cross product of $\mathbf x$ and $\mathbf y$, a binary operation on two vectors of a $3$-dimensional vector space which produces another such vector.

The $\LaTeX$ code for \(\times\) is `\times`

.

See Set Operations and Relations and Arithmetic and Algebra for alternative definitions of this symbol.

## Vector Scalar Product

- $\cdot$

$\mathbf x \cdot \mathbf y$ means the dot product of $\mathbf x$ and $\mathbf y$, a binary operation on two vectors which produces a scalar.

The $\LaTeX$ code for \(\cdot\) is `\cdot`

.

See Arithmetic and Algebra, Group Theory and Logical Operators: Deprecated Symbols for alternative definitions of this symbol.

## Deprecated Symbols

- $\wedge$

Some authors use $\mathbf A \wedge \mathbf B$ to mean $\mathbf A \times \mathbf B$, that is, the vector cross product.

The $\LaTeX$ code for \(\wedge\) is `\wedge`

.

The same symbol can be produced using `\land`

, but this is usually used when the symbol is used in the sense of the **logical and** context.

See Logical Operators and Group Theory for alternative definitions of this symbol.