The normal vector of a plane is given by the coefficients of x, y, and z in the equation of the plane.
For $P_{1}$, the normal vector is $(2, -1, 3)$.
For $P_{2}$, the normal vector is $(3, -5, -2)$.
For $P_{3}$, the normal vector is $(8, -4, 12)$.
For
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