The vector hati+xhatj+3hatk is rotated t...

The vector `hati+xhatj+3hatk` is rotated through an angle `theta` and doubled in magnitude, then it becomes `4hati+(4x-2)hatj+2hatk`. Then values of x are (A) `-2/3` (B) `1/3` (C) `2/3` (D) 2

A

`{-2/3,2}`

B

`{1/3,2}`

C

`P{2/3,0}`

D

{2,7}

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The correct Answer is:

A

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