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 cross of the Legion of Honor has been conferred on me. However, few escape that distinction.”
—Mark Twain [Samuel Langhorne Clemens] (18351910)
“A product of the untalented, sold by the unprincipled to the utterly bewildered.”
—Al Capp (19091979)