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**1. Homework Statement**

If distance |AB| = root 83, and i also know that |PA| is twice |PB|, then how do you find? |PA| or |PB| ?

The whole question states: consider the points P such that the distance from P to A (-1,5,3) is twice the distance from P to B (6,2,-2).

Show that the set of all such points is a sphere, and find its center and radius.

please help!

**2. Homework Equations**

**3. The Attempt at a Solution**