Vector Cross Product

The *vector cross product* (or simply *vector product*, as
opposed to the *scalar product* (which is also called the
*dot product*, or *inner product*)) is commonly used in
*vector calculus*--a basic mathematical toolset used in
mechanics [272,260],
acoustics [352], electromagnetism [359], quantum
mechanics, and more. It can be defined symbolically in the form of
a *matrix determinant*:^{B.19}

where denote the

The second and third lines of Eq.(B.15) make it clear that . This is one example of a host of identities that one learns in vector calculus and its applications.

- Cross-Product Magnitude
- Mass Moment of Inertia as a Cross Product
- Tangential Velocity as a Cross Product

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Center for Computer Research in Music and Acoustics (CCRMA), Stanford University