Typically, you can't carry on liquids more than 3 oz. However, there is an exception for medications. Becuase this is a "vitamin" and not a medication, you would probably need to get a letter from a naturopathic doctor "prescribing" it so that you can carry it on with you. Otherwise, you'd need to check the liquid vitamin in your luggage (be sure to put it in TWO sealed ziplock bags).
Also, another thing to keep in mind is that 32 oz. is two pounds (not sure if it goes that way exactly with liquid ounces versus solid ounces, but you get my point...)- If you are traveling on any of the small regional airlines with strict weight restrictions for luggage, you will need to take this into account.