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Question

If |a+b|=|ab|,then the vectors a and bare orthogonal

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Solution

True

Since, |a+b|=|ab| |a+b|2=|ab|2 2|a||b|=2|a||b| 4|a||b|=0 |a||b|=0Hence, a and b are orthogonal. [a.b=|a||b|cos900=0]


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