For the system of three planes: -4x + 3y + 2z = 2; 4x - 3y - 2z = 2; and 2x + y - 4z = -16; a) Are any of the planes parallel? Justify your answer. b) Determine if the normals are coplanar. What does this tell you about the system? c) Solve the system if possible. Show a complete solution (do not use matrix operations). Classify the system using the terms: consistent, inconsistent, dependent and/or independent.

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