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Find 3 non-collinear points in the plane ax+by+cz+d=0. (Hint: Set two variables to zero for each point.)

Find 3 non-collinear points in the plane ax+by+cz+d=0. (Hint: Set two variables to zero for each point.)

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 2E: Does a right circular cone such as a wizards cap have a symmetry with respect to at least one plane?...
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2. Find 3 non-collinear points in the plane ax+by+cz+d=0. (Hint: Set two variables to zero for each point.) 3. True or false: Collinearity implies coplanarity. b. Any three points are coplanar. c. Any three points determine a unique plane. d. Any two lines intersect in exactly one point.
Transcribed Image Text:2. Find 3 non-collinear points in the plane ax+by+cz+d=0. (Hint: Set two variables to zero for each point.) 3. True or false: Collinearity implies coplanarity. b. Any three points are coplanar. c. Any three points determine a unique plane. d. Any two lines intersect in exactly one point.
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