The correct answer is option 4, Vitamin K.

Vitamin K is essential for blood clotting and plays a crucial role in the production of proteins that are involved in the clotting process. When there is a deficiency of Vitamin K, the clotting process is impaired, leading to delayed clotting of blood and increased risk of hemorrhaging.

Let`s dissect the other options to better understand why they are not the correct answer:

Option 1: Vitamin A is important for vision, immune function, and the health of skin and mucous membranes. However, it is not directly involved in blood clotting or hemorrhaging.

Option 2: Vitamin C is crucial for the growth, development, and repair of body tissues. It is also an antioxidant that helps protect cells from damage. However, it does not have a direct role in blood clotting.

Option 3: Vitamin E is another antioxidant that helps protect cells from damage. It is important for maintaining the health of blood vessels and plays a role in the immune system. However, it is not directly involved in blood clotting or hemorrhaging.

In conclusion, the deficiency of Vitamin K is responsible for delayed clotting of blood and hemorrhaging.