Then we have for these newly introduced vectors with components ; and the quantity a series of equations I'), II'), III'), IV) which are obtained from I), II), III), IV) by simply dashing the symbols.
We remark here that e are components of the vector , where is a vector in the direction of the positive z-axis, and , and is the vector product of and ; similarly are the components of the vector .
The equations 6) and 7), as they stand in pairs, can be expressed as.
If denotes any other real angle, we can form the following combinations : —
§ 4. Special Lorentz-Transformation.
The role which is played by the z-axis in the transformation (4)
- The equations (5) are written in a different order, however, equations (6) and (7) in the same order as the equations mentioned before, which amounts to them