Generate all possible combinations of the elements of some vectors (Cartesian product)

Question

I would like to generate all the possible combinations of the elements of a given number of vectors.

For example, for [1 2], [1 2] and

Answer 1

Try ALLCOMB function at FileExchange.

If you store you vectors in a cell array, you can run it like this:

a = {[1 2], [1 2], [4 5]};
allcomb(a{:})
ans =

     1     1     4
     1     1     5
     1     2     4
     1     2     5
     2     1     4
     2     1     5
     2     2     4
     2     2     5