Final answer:
After a restriction enzyme binds to its restriction site, it creates sticky ends that allow the foreign DNA and cloning vector to anneal together. Ligase then glues the annealed fragments together, forming recombinant DNA.
Step-by-step explanation:
After a restriction enzyme binds to its restriction site, it creates sticky ends on the DNA fragments. These sticky ends allow the foreign DNA and cloning vector to anneal, or bind together. Then, an enzyme called ligase glues the annealed fragments together, forming recombinant DNA.