r-a)*(r-b)=0 (the dot product) represents a sphere. Find its radius and centre.

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 22E
Question

r=(x,y,z)

a=(a1,a2,a3)

b=b1,b2,b3

show that (r-a)*(r-b)=0 (the dot product)

represents a sphere. Find its radius and centre.

 

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