not to be confused with outer product. Note that the exterior product is sometimes called outer product in literatures.
The exterior product, also called wedge product,
exterior product is closely related to the cross product:
Properties
- Distributive over addition:
Magnitude
The magnitude of exterior product is the same as the magnitude cross product.
Theorem
Let
In 3D
So far we are talking about the coordinate-free definition of exterior product, and here is a definition with three coordinate vectors:
Let
and
Related
- inner product
- outer product
- cross product
- geometric product
- Cartesian product
- Hadamard product - element-wise product