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:
“We are no longer in a state of growth; we are in a state of excess. We are living in a society of excrescence.... The boil is growing out of control, recklessly at cross purposes with itself, its impacts multiplying as the causes disintegrate.”
—Jean Baudrillard (b. 1929)
“Man’s main task in life is to give birth to himself, to become what he potentially is. The most important product of his effort is his own personality.”
—Erich Fromm (1900–1980)