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If a→,b→,c→ are non-coplanar unit vector such that a→×(b→×c→)=12(b→+c→) then the angle between the vectors a→,b→ is

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a

3π4

b

π4

c

π8

d

π2

answer is A.

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Detailed Solution

(a→⋅c→)b→−(a→⋅b→)c→=12b→+12c→∴a→.c→=12 and a→⋅b→=−12⇒ angle between a→ and c→=π4 and angle between a→ and b→=3π4

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