Union
$$A \cup B =$$
{ achiever, artha, critic, dharma, enthusiast, helper, kama, loyalist, mediator, moksha, observer, protector, romantic }
Symmetric Difference
$$A \ominus B =$$
{ achiever, artha, critic, dharma, enthusiast, helper, kama, loyalist, mediator, moksha, observer, protector, romantic }
Cartesian Product
$$A \times B =$$
{ (artha, achiever),
(artha, critic),
(artha, enthusiast),
(artha, helper),
(artha, loyalist),
(artha, mediator),
(artha, observer),
(artha, protector),
(artha, romantic),
(dharma, achiever),
(dharma, critic),
(dharma, enthusiast),
(dharma, helper),
(dharma, loyalist),
(dharma, mediator),
(dharma, observer),
(dharma, protector),
(dharma, romantic),
(kama, achiever),
(kama, critic),
(kama, enthusiast),
(kama, helper),
(kama, loyalist),
(kama, mediator),
(kama, observer),
(kama, protector),
(kama, romantic),
(moksha, achiever),
(moksha, critic),
(moksha, enthusiast),
(moksha, helper),
(moksha, loyalist),
(moksha, mediator),
(moksha, observer),
(moksha, protector),
(moksha, romantic) }