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The vectors i + xj + 3k is rotated through an angle θ and doubled in magnitude, then it becomes 4i + (4x - 2)j + 2k. Find x?

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The vectors i + xj + 3k  is rotated through an angle θ and doubled in magnitude, then it becomes 4i + (4x - 2)j + 2k. Find x?

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2 x |i + xj + 3k| = |4i + (4x - 2)j + 2k|

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