Multivector Division
The spacetime algebra is not a formal division algebra, because it contains idempotent elements and zero divisors: . These can be interpreted as projectors onto the light-cone and orthogonality relations for such projectors, respectively. But in general it is possible to divide one multivector quantity by another, and make sense of the result: so, for example, a directed area divided by a vector in the same plane gives another vector, orthogonal to the first.
Read more about this topic: Spacetime Algebra
Famous quotes containing the word division:
“For a small child there is no division between playing and learning; between the things he or she does “just for fun” and things that are “educational.” The child learns while living and any part of living that is enjoyable is also play.”
—Penelope Leach (20th century)