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:
“He is asleep. He knows no longer the fatigue of the work of deciding, the work to finish. He sleeps, he has no longer to strain, to force himself, to require of himself that which he cannot do. He no longer bears the cross of that interior life which proscribes rest, distraction, weaknesshe sleeps and thinks no longer, he has no more duties or chores, no, no, and I, old and tired, oh! I envy that he sleeps and will soon die.”
—Albert Camus (1913–1960)
“The history is always the same the product is always different and the history interests more than the product. More, that is, more. Yes. But if the product was not different the history which is the same would not be more interesting.”
—Gertrude Stein (1874–1946)