By using the enzyme DNA ligase, foreign DNA is integrated into the vector. The combination of vector DNA and foreign DNA is called

The integration of foreign DNA into a vector using the enzyme DNA ligase results in a new DNA molecule that contains genetic material from two different sources.

This newly formed DNA molecule is known as Recombinant DNA.

Because it is composed of DNA from different origins, it is also referred to as Chimeric DNA, analogous to a chimera in mythology which is made of parts from different animals.

Therefore, the combination of vector DNA and foreign DNA is called Recombinant DNA as well as Chimeric DNA.

Answer: Recombinant DNA as well as Chimeric DNA.