Hat Operator - Cross Product

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:

    But soft, behold! lo where it comes again!
    I’ll cross it though it blast me. Stay, illusion!
    William Shakespeare (1564–1616)

    Culture is a sham if it is only a sort of Gothic front put on an iron building—like Tower Bridge—or a classical front put on a steel frame—like 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 living—not something added, like sugar on a pill.
    Eric Gill (1882–1940)