could pls solve this with all steps and in handwritten for me to better undertsand thanks  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.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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could pls solve this with all steps and in handwritten for me to better undertsand thanks 

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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