If $\overrightarrow a= x^2\hat i+2\hat j-2\hat k,\:\overrightarrow b=\hat i-\hat j+\hat k\;and\:\overrightarrow c=x^2\hat i+5\hat j-4\hat k$ are three vectors, then the values of $x$ for which the angle between $\overrightarrow a\:and\:\overrightarrow b$ is acute and that between $\overrightarrow b\:and\:\overrightarrow c$ is obtuse is ?

Question

$\begin{array}{1 1} (A) x\in (-3,3) \\(B) x\in (-3,2)\cup (2,3) \\ (C) x\in (-3,2) \\ (D) x\in [-3,3]\end{array}$