Let p =1 Find a hyperplane [f:d] that strictly sepa- rates B(0, 3) and B(p, 1). [Hint: After finding f , show that = (1– .75)0 +.75p is neither in B(0, 3) nor in the point v B(p, 1).]

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.6: The Three-dimensional Coordinate System
Problem 41E: Does the sphere x2+y2+z2=100 have symmetry with respect to the a x-axis? b xy-plane?
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Let p =1
Find a hyperplane [f:d] that strictly sepa-
rates B(0, 3) and B(p, 1). [Hint: After finding f , show that
= (1– .75)0 +.75p is neither in B(0, 3) nor in
the point v
B(p, 1).]
Transcribed Image Text:Let p =1 Find a hyperplane [f:d] that strictly sepa- rates B(0, 3) and B(p, 1). [Hint: After finding f , show that = (1– .75)0 +.75p is neither in B(0, 3) nor in the point v B(p, 1).]
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