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If vector a = xi + (x - 1)j + k and b = (x + 1)i + j + ak always make an acute angle with each other for every value of x ∈ R,

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If vector a = xi + (x - 1)j + k and b = (x + 1)i + j + ak always make an acute angle with each other for every value of x ∈ R, then

(A) a ∈ (-∞, 2)

(B) a ∈ (2, ∞)

(C) a ∈ (−∞, 1)

(D) a ∈  (1, ∞)

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Answer is (B) a ∈  (2, ∞)

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