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Let vec a=x^2 hat i+2 hat j-2 hat k , v...

Let ` vec a=x^2 hat i+2 hat j-2 hat k , vec b= hat i- hat j+ hat k` and ` vec c=x^2 hat i+5 hat j-4 hat k` be three vectors. Find the values of `x` for which the angle between ` vec a` and ` vec b` is acute and the angle between ` vec b` and ` vec c` is obtuse.

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