Find the equation of a plane through these three points in, Electrical Engineering

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Find the equation of a plane through these three points in

Three points are given in Cartesian coordinates: P₁(1, 1, 1), P₂(1, 1,0), and P₃(0, 1, 1).

(a) Find the points P₁, P₂, and P₃ in cylindrical and spherical coordinates.

(b) Find the equation of a plane through these three points in Cartesian coordinates.

(d) Find the equation of the plane in spherical coordinates.

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