Orion's Belt is not part of the Little Dipper. The Little Dipper is part of a larger constellation known as Ursa Minor. Orion's Belt is part of the larger constellation of Orion.
Both Orion's Belt and the Little Dipper are asterisms, which mean they are star patterns that are not considered constellations on their own. The Little Dipper contains a group of seven stars, including Polaris. Four of Little Dipper's stars are faint and hard to see. Orion's Belt are the three stars of Alnitak, Alnilam and Mintaka. They form a straight line and can be easily seen on the southern horizon in winter.