Cross Product
In screw theory, one use of the hat operator is to represent the cross product operation. Since the cross product is a linear transformation, it can be represented as a matrix. The hat operator takes a vector and transforms it into its equivalent matrix.
For example, in three dimensions,
Read more about this topic: Hat Operator
Famous quotes containing the words cross and/or product:
“Expecting me to grovel,
she carefully covers both feet
with the hem of her skirt.
She pretends to hide
a coming smile
and won’t look straight at me.
When I talk to her,
she chats with her friend
in cross tones.
Even this slim girl’s rising anger
delights me,
let alone her deep love.”
—Amaru (c. seventh century A.D.)
“For man is not the creature and product of Mechanism; but, in a far truer sense, its creator and producer.”
—Thomas Carlyle (1795–1881)