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Question

If | A × B | = 3A.B , then the value of | A + B | is:


A

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B

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C

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D

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Solution

The correct option is D


| A × B | = 3A.B or AB sin θ= 3 AB cos θ

tan θ = 3 , or θ = 60

Thus | A + B | = A2+B2+2ABcos60

= A2+B2+AB


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