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:
“In ancient times—’twas no great loss—
They hung the thief upon the cross:
But now, alas!—I say’t with grief—
They hang the cross upon the thief.”
—Anonymous. “On a Nomination to the Legion of Honour,” from Aubrey Stewart’s English Epigrams and Epitaphs (1897)
“The product of mental labor—science—always stands far below its value, because the labor-time necessary to reproduce it has no relation at all to the labor-time required for its original production.”
—Karl Marx (1818–1883)