A product of bounded and null sequences is a null sequence.

Assume $\{x_k\}$ and $\{y_k\}$ are two sequences in $\mathbb{R}^n$ such that the $\lim_{k \rightarrow \infty}x_k = 0$ and $\{y_k\}$ is bounded. prove $\lim_{k \rightarrow \infty} (x_k \centerdot y_k) = 0$

I'm honestly not even sure where to start with this, so we have two convergent sequences but I don't know how to prove the dot product converges to 0 as well