Although the multiplication of one vector by another is not uniquely defined (cf. scalar multiplication, which is multiplication of a vector by a scalar), several types of useful vector products can be defined, as summarized in the following table.

Vector multiplication can also be defined for vectors taken three at a time, as summarized in the following table.

A number of vector quadruple products can also be defined.

See also

Cross Product, Dot Product, Perp Dot Product, Scalar Multiplication, Scalar Triple Product, Vector, Vector Addition, Vector Direct Product, Vector Quadruple Product, Vector Triple Product

Explore with Wolfram|Alpha

Cite this as:

Weisstein, Eric W. "Vector Multiplication." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/VectorMultiplication.html

Subject classifications