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3. Complete the following questions using the following planes T₂: 2x+4y-6z-2=0 m₂: 7x+14y-21z-7=0 ₂: 4x+8y-11z +5=0 a) Determine the normal vectors for each of the three planes b) Are any of the planes parallel? Show your work (If yes, determine the scalar multiple. If no, show that they are not multiples) c) Are the normals for the three planes coplanar?

3. Complete the following questions using the following planes T₂: 2x+4y-6z-2=0 m₂: 7x+14y-21z-7=0 ₂: 4x+8y-11z +5=0 a) Determine the normal vectors for each of the three planes b) Are any of the planes parallel? Show your work (If yes, determine the scalar multiple. If no, show that they are not multiples) c) Are the normals for the three planes coplanar?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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3. Complete the following questions using the following planes T₁: 2x+4y-6z-2=0 T₂: 7x + 14y-212-7=0 T₂: 4x+8y-11z +5=0 a) Determine the normal vectors for each of the three planes b) Are any of the planes parallel? Show your work (If yes, determine the scalar multiple. If no, show that they are not multiples) c) Are the normals for the three planes coplanar?
Transcribed Image Text:3. Complete the following questions using the following planes T₁: 2x+4y-6z-2=0 T₂: 7x + 14y-212-7=0 T₂: 4x+8y-11z +5=0 a) Determine the normal vectors for each of the three planes b) Are any of the planes parallel? Show your work (If yes, determine the scalar multiple. If no, show that they are not multiples) c) Are the normals for the three planes coplanar?
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