Cross
Usage
• Cross[a, b] gives the vector cross product of a and b.
Notes
• If a and b are lists of length 3, corresponding to vectors in three dimensions, then Cross[a, b] is also a list of length 3. • Cross[a, b] can be entered in StandardForm and InputForm as a b, a cross b or a \[Cross] b. Note the difference between \ [Cross] and \ [Times]. • Cross is antisymmetric, so that Cross[b, a] is -Cross[a, b]. • Cross[{x, y}] gives the perpendicular vector {-y, x}. • In general, Cross[ , , ... , ] is a totally antisymmetric product which takes vectors of length n and yields a vector of length n that is orthogonal to all of the  . • Cross[ , , ... ] gives the dual (Hodge star) of the wedge product of the  , viewed as one-forms in  dimensions. • New in Version 3.
|