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.
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.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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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