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## Main Question or Discussion Point

i am reading a book written by malcolm ludvigsen and i have difficulty in understanding the following:

he introduces the maxwell tensor via

m[tex]\ddot{x}[/tex] = eF(v)

where v is the four-velocity and [tex]\ddot{x}[/tex] the four-acceleration of a charged partice.

he then states that F(a,b) = aF(b) is "clearly" antisymmetric, i.e. F(a,b)=-F(b,a).

well, i know that it is antisymmetric. but if i wouldn't i then i'd find it quite hard to reach that conclusion having only the given information.

can someone please tell me how to easily see the obvious antisymmetry by only these information?

he introduces the maxwell tensor via

m[tex]\ddot{x}[/tex] = eF(v)

where v is the four-velocity and [tex]\ddot{x}[/tex] the four-acceleration of a charged partice.

he then states that F(a,b) = aF(b) is "clearly" antisymmetric, i.e. F(a,b)=-F(b,a).

well, i know that it is antisymmetric. but if i wouldn't i then i'd find it quite hard to reach that conclusion having only the given information.

can someone please tell me how to easily see the obvious antisymmetry by only these information?