Q.

If a→ and b→ are unit vectors such that (a→+b→)⋅(2a→+3b→)×(3a→−2b→)=0→ angle between  a→ and b→ is

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a

0

b

π2

c

π

d

indeterminate

answer is D.

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Detailed Solution

0→=(a→+b→)⋅(2a→+3b→)×(3a→−2b→)=(a→+b→)⋅(−4a→×b→−9a→×b→)=−13(a→+b→)⋅(a→×b→)which is true for all values of  a→ and b→
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If a→ and b→ are unit vectors such that (a→+b→)⋅(2a→+3b→)×(3a→−2b→)=0→ angle between  a→ and b→ is