Consider the points P = (3, 2, 1) and Q = (1, 2, 3) in R3. (1) What is the equation of the sphere that is centered at P and touches Q? (2) What is the equation of the plane containing the triangle ∆OPQ (where O is the origin)? (3) What is the equation of the line passing through O that’s parallel to line PQ?

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A: Here we have to find the equation of plane  making an angle of π/2 with the plane 3x + y − 4z = 2

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A:

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