What is the geometric object in 3-space represented by the equation (x + y +z)^2 = 0 Choose: 1. the point (0,0,0) 2. the point (2,2,2) 3. a plane passing through the point  (0,0,0) 4. the line x=y=z, which is the intersection of two planes 5. a union of two planes 6. the empty set

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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What is the geometric object in 3-space represented by the equation (x + y +z)^2 = 0

Choose:

1. the point (0,0,0)
2. the point (2,2,2)
3. a plane passing through the point  (0,0,0)
4. the line x=y=z, which is the intersection of two planes
5. a union of two planes
6. the empty set
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