 TOPICS # Vector Multiplication

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.

 product name symbol result dot product scalar cross product pseudovector perp dot product scalar vector direct product tensor

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

 product name symbol result vector triple product vector scalar triple product pseudoscalar

A number of vector quadruple products can also be defined.

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

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## Cite this as:

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