Union
$$A \cup B =$$
{ analysis, application, comprehension, earth, evaluation, fire, knowledge, metal, synthesis, water, wood }
Symmetric Difference
$$A \ominus B =$$
{ analysis, application, comprehension, earth, evaluation, fire, knowledge, metal, synthesis, water, wood }
Cartesian Product
$$A \times B =$$
{ (earth, analysis),
(earth, application),
(earth, comprehension),
(earth, evaluation),
(earth, knowledge),
(earth, synthesis),
(fire, analysis),
(fire, application),
(fire, comprehension),
(fire, evaluation),
(fire, knowledge),
(fire, synthesis),
(metal, analysis),
(metal, application),
(metal, comprehension),
(metal, evaluation),
(metal, knowledge),
(metal, synthesis),
(water, analysis),
(water, application),
(water, comprehension),
(water, evaluation),
(water, knowledge),
(water, synthesis),
(wood, analysis),
(wood, application),
(wood, comprehension),
(wood, evaluation),
(wood, knowledge),
(wood, synthesis) }