Step 1: Recall the two groups of vitamins.
Vitamins are divided into two groups based on how the body absorbs and stores them: fat-soluble vitamins and water-soluble vitamins. Fat-soluble vitamins dissolve in fat and are stored in the liver and fatty tissue, while water-soluble vitamins dissolve in water and are not stored in large amounts.
Step 2: List the fat-soluble vitamins.
The fat-soluble vitamins are Vitamin A, Vitamin D, Vitamin E and Vitamin K. A simple way to remember them is the phrase ADEK. These four need dietary fat for proper absorption in the intestine.
Step 3: Place Vitamin B in the correct group.
Vitamin B, along with Vitamin C, belongs to the water-soluble group. These vitamins dissolve easily in water, are not stored in the body for long, and any extra amount is passed out in urine.
Step 4: Match with the options.
Vitamin A, Vitamin E and Vitamin K are all fat-soluble, so they do not answer the question. Vitamin B is water-soluble, making it the one that is not fat-soluble.
Final Answer:
Vitamin B is not fat-soluble.
\[ \boxed{\text{Vitamin B}} \]