Given that

a+b+c = 0

I need to prove;

a x b = b x c = c x a

How do i go about doing this?

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- Jan 15th 2011, 11:54 AMMcooltaVector proof
Given that

a+b+c = 0

I need to prove;

a x b = b x c = c x a

How do i go about doing this? - Jan 15th 2011, 12:07 PMDrSteve
I'll do one as an example:

c x a = (-a - b) x a = (-a x a)+ (-b x a) = -(a x a) + (a x b) = 0 + (a x b) = a x b.