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Q.

 a¯,b¯,c¯ are vectors of equal magnitude and  (a,b)=α, (b,c)=β, (c,a)=γmin.  Value of cosα+cosβ+cosγ is ____

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a

32

b

32

c

12

d

12

answer is B.

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Detailed Solution

a¯,b¯,c¯ are vectors |a|=|b|=|c|

It is equilateral Δθ=π/3or2π/3. For min=cos2π3+cos2π3+cos2π3=3/2.

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