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Question

If a and b are unit vectors such that (a+b).(2a+3b)×(3a2b)=0

A
0
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B
π2
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C
π
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D
Indeterminate
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Solution

The correct option is A 0
(a+b).(2a+3b)×(3a2b)
=(a+b)[2a×3a2a×2b+3b×3a3b×2b]
=(a+b)[0+4b×a+9b×a0]
=(a+b)[13b×a]
=13a.(b×a)+13b(b×a)
=0 Ans.

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