| 21. | The vector, and so the cross product, comes from the product of this bivector with a trivector.
|
| 22. | The components of the bivector are the projected areas of the parallelogram on each of the three coordinate planes.
|
| 23. | These bivectors are summed to produce a single, generally non-simple, bivector for the whole rotation.
|
| 24. | Note that the order is important because between a bivector and a vector the dot product is anti-symmetric.
|
| 25. | If the electric and magnetic fields in ! 3 are and then the " electromagnetic bivector " is
|
| 26. | As a whole it is the electromagnetic tensor expressed more compactly as a bivector, and is used as follows.
|
| 27. | The bivector magnitude ( denoted by ) is the " signed area ", which is also the determinant.
|
| 28. | Two bivectors, two of the non-parallel sides of a prism, being added to give a third bivector.
|
| 29. | It's not fundamentally a vector ( oriented line element ), but an oriented area element ( bivector ).
|
| 30. | Where is the bivector form of the electromagnetic tensor, is the four-current and is a suitable differential operator.
|
