Consider the set above. How do you show the set is bounded and closed?
I know the boundness is a given, but how does one show the set is even closed?
The set of all vectors in space with the property that its norm is restricted to 2 and 4 can be extended to infinity because vectors are equivalent only in direction and magnitude. So wouldn't technically mean there would be a lot of vectors with this property?
I know for in the case of $\mathbb{R}$, this just dumb it down to the number line, but I am extremely lost on how to do it in $\mathbb{R^n}$