Vitamins A, D, and E are fat-soluble vitamins and are typically stored in the adipose tissue of the body. On the other hand, Vitamin B\(_6\) is a water-soluble vitamin, and it is not stored in adipose tissue. Water-soluble vitamins are generally excreted through urine and do not accumulate in the body like fat-soluble vitamins.
The correct option is(C): B6
Vitamins can be classified into two categories: fat-soluble and water-soluble.
1. Fat-soluble vitamins (A, D, E, and K) are stored in adipose tissue because they dissolve in fats and are stored in the body's fat cells.
2. Water-soluble vitamins (B-complex vitamins and vitamin C) are not stored in the body in significant amounts, as they dissolve in water and are excreted through urine. Vitamin B$_6$ (pyridoxine) is a water-soluble vitamin and is not stored in adipose tissue.
Thus, the correct answer is B$_6$, which is not stored in adipose tissue.