The 'K' in vitamin K is derived from the German word koagulation.. Coagulation is the process in which blood forms clots. Vitamin K facilitates the function of several proteins, including those that are responsible for blood clot formation.It plays a vital role in cell growth and in the metabolism of bone and other tissues.itamin K and Blood Clot Formation. Blood clots through a process called the 'coagulation cascade'. It's referred to as a cascade as it involves a cascade of enzymes activating each other. Fibrin is formed at the end of the cascade.