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## Homework Statement

Write the equation of the sphere whose diameter has endpoints at (-1,1,-3) and (3,-1,2).

## Homework Equations

## The Attempt at a Solution

(x-x

_{1})

^{2}+ (y-y

_{1})

^{2}+ (z-z

_{1})

^{2}= r

^{2}

the center of the sphere is : (1,0,-1/2)

r= [tex]\sqrt{}5/4[/tex]

then the equation is: (x-1)

^{2}+(y-0)

^{2}+(z+1/2)

^{2}=5/4

Please someone check my answer and if I am not right, help me to solve it.