# Squeeze theorem of multivariable functions

My Question is the following: Let F: U $$\subset \mathbb{R}^n$$ $$\rightarrow \mathbb{R}^m$$ where U is an open set containing a punctured neighbourhood of a. Let G : $$U \subset \mathbb{R}^n \rightarrow \mathbb{R}^{\geq 0}$$. Assume $$0 \leq |f(x)| \leq h(x)$$ ( Note, here |.| denotes the magnitude of the vector. Show that if limit of h(x) as x approaches a is 0 then the limit of f(x) as x approaches a is 0. Note that I get the general idea; however, what i’m stuck on is showing that
|f(x)|$$\leq$$h(x)$$\leq |h(x)|$$. I’m not sure why that follows and what it means because h(x) is a vector, and the absolute value is the length of the vector..