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,
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Famous quotes containing the words cross and/or product:
“The exact objectives of Islam Inc. are obscure. Needless to say everyone involved has a different angle, and they all intend to cross each other up somewhere along the line.”
—William Burroughs (b. 1914)
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—Frank Pittman (20th century)