Predict whether each of the following vitamins is water soluble or fat soluble.
(a) vitamin $\mathrm{B}_{3}, \mathrm{C}_{6} \mathrm{H}_{6} \mathrm{~N}_{2} \mathrm{O}$
(b) vitamin $\mathrm{C}, \mathrm{C}_{6} \mathrm{H}_{8} \mathrm{O}_{6}$
(c) vitamin D, $\mathrm{C}_{27} \mathrm{H}_{44} \mathrm{O}$
(d) vitamin $\mathrm{K}, \mathrm{C}_{31} \mathrm{H}_{46} \mathrm{O}_{2}$