Question 1175624: Find the equation of the sphere with diameter endpoints (2,-7,-2) and (-4,3,2).
Answer by ikleyn(52884)   (Show Source):
You can put this solution on YOUR website! .
Find the equation of the sphere with diameter endpoints A = (2,-7,-2) and B = (-4,3,2).
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The center is the point (-1,-2,0) (for each coordinate, you take half the sum of respective coordinates of the given points).
The diameter AB is the vector with components (-6,10,4); so its length is
 =  =  =  units long,
so the radius is  units long.
Thus the standard equation for the sphere is
 +  +  = 38.
Solved.
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