Mathematics · Vector Algebra

Let a vector a = √2 i - j + λ k (λ > 0) make an obtuse angle with the vector b = -λ2 i + 4√2 j + 4√2 k and an angle θ (π6 < θ < π2) with the positive z-axis. If the set of all possible values of λ is (α, β) - {γ}, then the value of α + β + γ is:

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