\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Consider the points \(A(-4, 2, 2)\), \(B(1, 1, -1)\), and \(C(3, -1, 1)\).Determine a Cartesian equation of the plane passing through \(B\) and having \(\Vect{AC}\) as a normal vector.
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