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
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