I know that the What is the intersection of two balls in $\mathbb{R}^2$ is either 0,1 or 2 points (since a ball in $\mathbb{R}^2$ is just a circle I can drew this).
What is the intersection of two balls in $\mathbb{R}^3$ ? is it at max 3 points ?
I would also like to know about the more general case of $n>1$
Can someone please help ?