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3. Let S be the sphere of radius 2 centred on the origin. Find the coordinates of the point on 8 which is closest to

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3. Let S be the sphere of radius 2 centred on the origin. Find the coordinates of the point on 8 which is closest to the point with coordinates (1, 2x5, 4). (Hint: minimizing the square of the distance is equivalent to minimizing the distance; it is also a lot easier!) [7 marks]

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