Given that a = (3, 1, 2) and b = (1, 2, 4) are the position vectors

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Given that a = (3, 1, 2) and b = (1, –2, –4) are the position vectors of the points P and Q respectively, find

(a) The equation of the plane passing through Q and perpendicular to PQ;

(b) The distance from the point (–1, 1, 1) to the plane obtained in (a).

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