## Wedge Product

An antisymmetric operation on Differential Forms (also called the Exterior Derivative)

 (1)

which Implies
 (2) (3) (4) (5)

The wedge product is Associative
 (6)

and Bilinear
 (7)

 (8)

but not (in general) Commutative
 (9)

where is a -form and is a -form. For a 0-form and 1-form ,
 (10)

For a 1-form and 1-form ,
 (11)

The wedge product is the correct'' type of product to use in computing a Volume Element
 (12)