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:
“Never expect any recognition here—the system prohibits it. The cross is not affixed to the genius, no, the genius is affixed to the cross.”
—Franz Grillparzer (1791–1872)
“To [secure] to each labourer the whole product of his labour, or as nearly as possible, is a most worthy object of any good government.”
—Abraham Lincoln (1809–1865)