D dwsmith MHF Hall of Honor Mar 2010 3,093 582 Florida May 18, 2010 #1 Find the minimal distance between any point on the sphere \(\displaystyle (x-2)^2+(y-1)^2+(z-3)^2=1\) and \(\displaystyle (x+3)^2+(y-2)^2+(z-4)^2=4\). I forgot how to do these type of problems.

Find the minimal distance between any point on the sphere \(\displaystyle (x-2)^2+(y-1)^2+(z-3)^2=1\) and \(\displaystyle (x+3)^2+(y-2)^2+(z-4)^2=4\). I forgot how to do these type of problems.

P Plato MHF Helper Aug 2006 22,507 8,664 May 18, 2010 #2 dwsmith said: Find the minimal distance between any point on the sphere \(\displaystyle (x-2)^2+(y-1)^2+(z-3)^2=1\) and \(\displaystyle (x+3)^2+(y-2)^2+(z-4)^2=4\). Click to expand... What is the distance between the centers of the spheres?

dwsmith said: Find the minimal distance between any point on the sphere \(\displaystyle (x-2)^2+(y-1)^2+(z-3)^2=1\) and \(\displaystyle (x+3)^2+(y-2)^2+(z-4)^2=4\). Click to expand... What is the distance between the centers of the spheres?

D dwsmith MHF Hall of Honor Mar 2010 3,093 582 Florida May 18, 2010 #3 Plato said: What is the distance between the centers of the spheres? Click to expand... \(\displaystyle 3\sqrt{3}\)

Plato said: What is the distance between the centers of the spheres? Click to expand... \(\displaystyle 3\sqrt{3}\)

P Plato MHF Helper Aug 2006 22,507 8,664 May 18, 2010 #4 dwsmith said: \(\displaystyle 3\sqrt{3}\) Click to expand... The radius of one sphere is 1 and the radius of the other is 2. SO?

dwsmith said: \(\displaystyle 3\sqrt{3}\) Click to expand... The radius of one sphere is 1 and the radius of the other is 2. SO?

D dwsmith MHF Hall of Honor Mar 2010 3,093 582 Florida May 18, 2010 #5 Plato said: The radius of one sphere is 1 and the radius of the other is 2. SO? Click to expand... The spheres don't overlap so the min distance is \(\displaystyle 3\sqrt{3}-2\)

Plato said: The radius of one sphere is 1 and the radius of the other is 2. SO? Click to expand... The spheres don't overlap so the min distance is \(\displaystyle 3\sqrt{3}-2\)

P Plato MHF Helper Aug 2006 22,507 8,664 May 18, 2010 #6 dwsmith said: The spheres don't overlap so the min distance is \(\displaystyle 3\sqrt{3}-\color{red}3\) Click to expand... ! Reactions: dwsmith

dwsmith said: The spheres don't overlap so the min distance is \(\displaystyle 3\sqrt{3}-\color{red}3\) Click to expand... !