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15. If a+ b+ c 0, show that axb bx c cxa. |
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Answer» ifa + b + c = 0then a x (a+b+c) = a x a + a x b + a x c = a x 0 = 0a x b + a x c = 0a x b - c x a = 0soa x b = c x a b x (a+b+c) = b x a + b x b + b x c = b x 0 = 0b x c = a x b c x (a+b+c) = c x a + c x b + c x c = c x 0 = 0c x a = b x c putting it all together, a x b = b x c = c x a |
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