Union
$$A \cup B =$$
{ archery, calligraphy, chariotry, galactic, mathematics, music, planetary, rites, stellar }
Symmetric Difference
$$A \ominus B =$$
{ archery, calligraphy, chariotry, galactic, mathematics, music, planetary, rites, stellar }
Difference
$$A - B =$$
{ archery, calligraphy, chariotry, mathematics, music, rites }
Cartesian Product
$$A \times B =$$
{ (archery, galactic),
(archery, planetary),
(archery, stellar),
(calligraphy, galactic),
(calligraphy, planetary),
(calligraphy, stellar),
(chariotry, galactic),
(chariotry, planetary),
(chariotry, stellar),
(mathematics, galactic),
(mathematics, planetary),
(mathematics, stellar),
(music, galactic),
(music, planetary),
(music, stellar),
(rites, galactic),
(rites, planetary),
(rites, stellar) }