Union
$$A \cup B =$$
{ analyze, control, define, earth, fire, improve, measure, metal, water, wood }
Symmetric Difference
$$A \ominus B =$$
{ analyze, control, define, earth, fire, improve, measure, metal, water, wood }
Cartesian Product
$$A \times B =$$
{ (earth, analyze),
(earth, control),
(earth, define),
(earth, improve),
(earth, measure),
(fire, analyze),
(fire, control),
(fire, define),
(fire, improve),
(fire, measure),
(metal, analyze),
(metal, control),
(metal, define),
(metal, improve),
(metal, measure),
(water, analyze),
(water, control),
(water, define),
(water, improve),
(water, measure),
(wood, analyze),
(wood, control),
(wood, define),
(wood, improve),
(wood, measure) }