Let d: Rx R R, defined as d(r, y) = 0, then d is %3D O not metric because d not sats fied d (x, y) = 0 iff x =y only O not metric because d not symmetricand not sat sf ied d (r, y) = 0iffa y O semi metric O metric Onot metric because d not satis fied symmetriconly

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 d: Rx R R, defined as d(r, y) = 0, then d is
%3D
O not metric because d not sats fied d (x, y) = 0 iff x =y only
O not metric because d not symmetricand not sat sf ied d (r, y) = 0iffa = y
O semi metric
metric
O not metric because d not satis fied symmetriconly
Transcribed Image Text:Let d: Rx R R, defined as d(r, y) = 0, then d is %3D O not metric because d not sats fied d (x, y) = 0 iff x =y only O not metric because d not symmetricand not sat sf ied d (r, y) = 0iffa = y O semi metric metric O not metric because d not satis fied symmetriconly
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