Sphere from tree points

Equation of sphere with three point (a,0,0), (0, a,0), (0,0, a) and center lies on plane x+y+z=a

Result

e =  0

Solution:

Solution in text e =
Solution in text e = : Nr. 1

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Leave us a comment of example and its solution (i.e. if it is still somewhat unclear...):

Showing 2 comments:
#1
Math student
how can you write  r=a.(2/3)1/2
is this applicable for all plane equation?

#2
Dr Math
We found some bugs in this problem, but I think now is OK solution:

(x+a)2 + (y+a)2+(z-3a)2 = 6 a2

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To solve this example are needed these knowledge from mathematics:

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