SOLUTION: If c = a x b and b = a x c then prove that b = c = 0?

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Question 1179131: If c = a x b and b = a x c then prove that b = c = 0?
Answer by ikleyn(52786) About Me  (Show Source):
You can put this solution on YOUR website!
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This statement is  INCORRECT.

As a counter-example,  consider   a = b = c = 1.