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If the angle between the vectors (x, 3, –7) and (x, –x, 4) is acute, then x belongs to

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[–4, 7]

(–4, 7)

R–(–4, 7)

R–[–4, 7]

answer is A.

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Detailed Solution

$a . b < 0 \Rightarrow x^{2} - 3 x - 28 < 0 \Rightarrow (x - 7) (x + 4) < 0$

$x \in (- 4, 7)$

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