Q: Are pseudovectors equivalent to three-dimensional bivectors? ¶
A: Yes, and from which the transformation rules of pseudovectors can be derived.
Q: Is a pseudovector often treated as synonymous? ¶
A: Yes, but it is quite useful to be able to distinguish a bivector from its dual.
Q: Is a pseudovector invariant? ¶
A: Yes, but the cross product changes sign.
Q: Is a pseudovector one of these combinations? ¶
Q: Is a pseudovector different from a vector" is only true with a different and more specific definition of the term "vector" as discussed above"? ¶
Q: Is a pseudovector formed from the outer product of all but one of the n basis vectors? ¶
Q: Are pseudovectors a pseudovector? ¶
A: Yes, that the sum or difference of two polar vectors is a polar vector, that multiplying a polar vector by any real number yields another polar vector, and that multiplying a pseudovector by any real number yields another pseudovector.
Q: Are pseudovectors the elements of the algebra with dimension n − 1? ¶
A: Yes, and written ⋀n−1Rn.
Q: Are pseudovectors trivectors? ¶