Q.

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&  a^.b^=12

  angle between  a^ and c^=π4  and angle between a^ and  b^=3π4

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