SOLUTION: Find the equation of the sphere with diameter endpoints (2,-7,-2) and (-4,3,2).

Question 1175624: Find the equation of the sphere with diameter endpoints (2,-7,-2) and (-4,3,2).
Answer by ikleyn(52887) (Show Source): You can put this solution on YOUR website!
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Find the equation of the sphere with diameter endpoints A = (2,-7,-2) and B = (-4,3,2).
~~~~~~~~~~~~~~~~~

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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