If $\mid\overrightarrow{a}\mid=4$ and $-3\leq\:\lambda\leq 2$,then the range of $\mid\lambda\overrightarrow{a}\mid$ is

Question

\[(A)\;[0,8]\quad(B)\;[-12,8]\quad(C)\;[0,12]\quad(D)\;[8,12]\]