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Question

If (A&B) are two vectors then find (A+2B).(2A3B).If θ is the angle between them.


A

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B

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C

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D

None of these

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Solution

The correct option is C


(A+2B).(2A3B)=2A.A3A.B+4B.A6(B.B)

= 2(A.A)3ABcosθ+4ABcosθ6(B.B)=2A2+ABcosθ6B2


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