Vitamin K is the essential vitamin involved in the process of blood coagulation. It plays a critical role in the synthesis of specific proteins known as clotting factors, which are produced in the liver.
These clotting factors, such as prothrombin (Factor II), are necessary for the proper formation of blood clots. Without adequate Vitamin K, the blood clotting process is impaired, which can lead to excessive bleeding even from minor injuries.
Thus, Vitamin K is indispensable for maintaining hemostasis and preventing hemorrhagic conditions.
If vector \( \mathbf{a} = 3 \hat{i} + 2 \hat{j} - \hat{k} \) \text{ and } \( \mathbf{b} = \hat{i} - \hat{j} + \hat{k} \), then which of the following is correct?