**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? ¶

**A: **Yes.

**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"? ¶

**A: **Yes.

**Q: **Is a pseudovector formed from the outer product of all but one of the n basis vectors? ¶

**A: **Yes.

**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 ā 1? ¶

**A: **Yes, and written ānā1Rn.

**Q: **Are pseudovectors trivectors? ¶

**A: **Yes.