Symbols:Vector Algebra

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.

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

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.

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

Del Operator

 * $\nabla$

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 same symbol can be produced using, but this is usually used when the symbol is used in the sense of the logical and context.

See Symbolic Logic and Group Theory for alternative definitions of this symbol.