Find a fully reduced equation for the set of all points in $\mathbb{R}^3$ (i.e., $xyz$-space) that are equidistant from the points $A = \left(-3,1,-3\right)$ and $B = \left(3,5,0\right)$. Recall that a point $P = (x,y,z)$ is equidistant from $A$ and $B$ if $d(P,A) = d(P,B)$. Plot a graph of this set of points and describe this set geometrically.

help (equations)