The big questions behind are:

 1. Is a bivector a two-form? 
 2. Why a bivector is simply a vector in 3 dimensions?
 3. How to distinguish between vectors and bivectors in 3D?
 4. Why all bivectors are not vectors in 4D?
 5. How to imagine the dual of a bivector?
 6. How can a bivector be non-simple?