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**1. Homework Statement**

Find an equation of the set of all points equidistant from the set points A(-1,5,3) and B(6,2,-2). Describe the set.

**2. Homework Equations**

d= sqrt [(x2-x1)^2 + (y2-y1)^2 + (z2-z1)^2]

**3. The Attempt at a Solution**

I solved the distance between A and B and got d=sqrt 83. If a sphere is constructed that passes through these 2 points, then the center will be equidistant from both. Therefore that sphere will have radius=(sqrt 83)/2.

I don't know where to take it from here. Any thoughts?