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Math Help - Distance

  1. #1
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    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].
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  2. #2
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    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?
    I get the answer [tex]3\sqrt{3}-3[\MATH]
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  3. #3
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    As long as the two spheres do not overlap so that the distance between the centers less the two radii is positive, yes, that is the distance you want.

    (be sure to end LaTex with [ /math], not [\math].)
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