SOLUTION: How many points are equidistant from points A and B and also 4 inches from AB?

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in a plane
.
locus equidistant from A and B, is a line perpendicular to AB, at midpoint of AB
.
TWO POINTS are on this perpendicular line, 4 " from AB
.
in a 3 dim situation
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loci between A and B, is a perpendicular plane to AB, at midpoint
.
the loci 4" from AB in the plane is a circle of 4"" radius, center at midpoint AB
.