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You can create a list of m iterators and then call cartesian_product_iterator() on it:

sage: multicart = lambda m,q : cartesian_product_iterator([xrange(q+1) for i in range(m)])
sage: list(multicart(3,2))
[(0, 0, 0),
 (0, 0, 1),
 (0, 0, 2),
 (0, 1, 0),
 (0, 1, 1),
 (0, 1, 2),
 (0, 2, 0),
 (0, 2, 1),
 (0, 2, 2),
 (1, 0, 0),
 (1, 0, 1),
 (1, 0, 2),
 (1, 1, 0),
 (1, 1, 1),
 (1, 1, 2),
 (1, 2, 0),
 (1, 2, 1),
 (1, 2, 2),
 (2, 0, 0),
 (2, 0, 1),
 (2, 0, 2),
 (2, 1, 0),
 (2, 1, 1),
 (2, 1, 2),
 (2, 2, 0),
 (2, 2, 1),
 (2, 2, 2)]

If you want true vectors, you can

You can see this very similar question

You can create a list of m iterators and then call cartesian_product_iterator() on it:

sage: multicart = lambda m,q : cartesian_product_iterator([xrange(q+1) for i in range(m)])
sage: list(multicart(3,2))
[(0, 0, 0),
 (0, 0, 1),
 (0, 0, 2),
 (0, 1, 0),
 (0, 1, 1),
 (0, 1, 2),
 (0, 2, 0),
 (0, 2, 1),
 (0, 2, 2),
 (1, 0, 0),
 (1, 0, 1),
 (1, 0, 2),
 (1, 1, 0),
 (1, 1, 1),
 (1, 1, 2),
 (1, 2, 0),
 (1, 2, 1),
 (1, 2, 2),
 (2, 0, 0),
 (2, 0, 1),
 (2, 0, 2),
 (2, 1, 0),
 (2, 1, 1),
 (2, 1, 2),
 (2, 2, 0),
 (2, 2, 1),
 (2, 2, 2)]

If you want true vectors, you can

You can see this very similar question.

sage: import itertools
sage: multicartvect = lambda m,q : itertools.imap(vector, cartesian_product_iterator([xrange(q+1) for i in range(m)]))