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Question

Given that ab=0 and a×b=0, what can you conclude about the vector a and b?

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Solution

ab=0
|a|=0 or |b|=0
or ab .........(i)
a×b=0
|a|=0 or |b|=0
or a||b .........(ii)
By eqn. (i) and (ii),
It can be concluded that |a|=0 or |b|=0

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