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:
“Passion is here a soilure of the wits,
We’re told, and Love a cross for them to bear;
Joy shivers in the corner where she knits
And Conscience always has the rocking-chair,
Cheerful as when she tortured into fits
The first cat that was ever killed by Care.”
—Edwin Arlington Robinson (1869–1935)
“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)