Vector algebra and some other things



Hello,

1) is it possible to just declare variables as e.g 3-dim vectors and
then, without further specification, if I use some kind of a scalar
product on these variables (e.g a . b), i get a1b1+a2b2+a3b3 expansion
right away?

2) in addition, if you work with expressions which contain some vector
algebra, would you use matrix form for such quantities, or just use
the "vect" package (which I did not find really useful, but I might be
missing something)?

Cheers.