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:
“But soft, behold! lo where it comes again!
Ill cross it though it blast me. Stay, illusion!”
—William Shakespeare (15641616)
“Culture is a sham if it is only a sort of Gothic front put on an iron buildinglike Tower Bridgeor a classical front put on a steel framelike the Daily Telegraph building in Fleet Street. Culture, if it is to be a real thing and a holy thing, must be the product of what we actually do for a livingnot something added, like sugar on a pill.”
—Eric Gill (18821940)