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:
“She remembered home as a place where there were always too many children, a cross man and work piling up around a sick woman.”
—Willa Cather (18731947)
“A product of the untalented, sold by the unprincipled to the utterly bewildered.”
—Al Capp (19091979)