The problem is that your question has 2 different answers depending on certain things.
In a 6 foot tank, these fish would not have any problems with each other.
In a 4 foot tank, these fish will not have the room to swim. Now this means horizontal room. They like to just run in a straight line. In this type of a tank, not only will these fish be stressed, but they will most likely fight. The blue tang is especially prone to ich and stress, so a stressful situation will likely add to any aggression.
Neither fish will be thrilled in a 110 together.