Vectors are DNA molecules that can carry foreign DNA. There are two main types of vectors: cloning vectors are used to increase copies of cloned DNA fragments, while expression vectors are used to express foreign genes as proteins. Ideal vectors are autonomously replicating, contain antibiotic resistance markers, and have unique restriction sites. Common vector types include plasmids, which can clone fragments up to 10kb; bacterial artificial chromosomes for 35-300kb inserts; and yeast artificial chromosomes for 100-1000kb inserts. The choice of vector depends on the size of the DNA fragment to be cloned and the intended host organism.