# Math Help - Distance

1. ## Distance

Find minimum distance between any point on the sphere $(x-2)^2+(y-1)^2+(z-3)^2=1$and any point on the sphere $(x+3)^2+(y-2)^2+(z-4)^2=4$.
I find the distance between the two center,in which is [tex]3\sqrt{3}[\MATH]. Then I substract the distance between 2 center by both the radii of the sphere, that is, I get the minimum distance to be [tex]3\sqrt{3}-1-2=3\sqrt{3}-3[\MATH].

2. I tried this way:
First I find the distance between the 2 center of sphere. Then I substract it with the radii of both sphere. Am I right?