It's your child, do what you want but I'd contact your pediatrician first before doing anything. As mentioned, your 11 year old, if not "at risk" i.e. a normal healthy 11 year old, is not at any serious risk to Covid. I would think that while it probably won't hurt them to take some extra vitamins, a children's vitamin would be more than adequate and given their age, might be hard to administer on a regular basis.