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Question

Ifa×b=candb×c=a,then

A
|b|=|a|
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B
|a|=|c|
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C
|c|=|b|
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D
none of these
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Solution

The correct option is B |a|=|c|
Givena×b=c(1)b×c=a(2)calculating(1).c(a×b).c=c.c[abc]=|c|2Andalso(2).aa(b×c)=a.a=|a|2Hence,|a|2=|c|2|a|=|c|OptionBisthecorrectanswer.

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