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The value of x for which the angle betwe...

The value of x for which the angle between ` veca = 2x^(2) hati + 4x hatj =hatk +hatk and vecb = 7hati -2hatj =x hatk` , is obtuse and the angle between ` vecb` and the z-axis is acute and less than `pi//6`, are

A

`0 lt x lt 1/2`

B

`x gt 1/2`or `x lt 0`

C

`1/2 lt x lt 15`

D

No such value for x.

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The correct Answer is:
D
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