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?
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.3: Lines And Planes
Problem 18EQ
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