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# Find the coordinates of the point on L that is nearest to the origin.

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IB Questionbank Mathematics Higher Level 3rd edition 1

2

## (d) Find the Cartesian equation of the plane P containing the points A, B and C.

### (3)

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IB Questionbank Mathematics Higher Level 3rd edition 2

## (c) The point Q(3, 4, 3) lies on Π. The line L passes through the midpoint of [PQ]. Point S is on L such that PS  QS = 3, and the triangle PQS is normal to the plane Π. Given that there are two possible positions for S, find their coordinates.

### (Total 29 marks)

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