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Bivectors in 3 and 4 dimensions

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?