Vector product



> I can't find the vector product in the manual.
> I have tried A cross B , A x B , and several others without 
> success. What is the correct notation?

The vector functionality in Maxima is provided by the external package
"vect", which you should be able to load (if your Maxima path is
correctly configured) by using 

    load("vect");

Documentation is available in the file vect.usg in the same file
directory as the vect package.  Briefly, the "." operator is the dot
product (and is thus redefined as commutative) and the "~" operator is
the cross product.

There is also a demo:

    demo("vect");

Note that explicit cross products are *not* carried out by default,
since they depend on the coordinate system.  To carry them out, use the
Express function:

(C20) express([1,2,3] ~ [1,-2,-1]);
(D20) 			       [4, 4, - 4]

       -s