Mathematics · Vector Algebra

Let vector a = 2î - ĵ + k̂ and vector b = λĵ + 2k̂ (λ ∈ Z) be two vectors. Let vector c = a × b, and vector d be a vector of magnitude 2 in the yz-plane. If |vector c| = √53, then the maximum possible value of (vector c · vector d)2 is:

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104

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