已知 $|\overrightarrow{A B}|=10,|\overrightarrow{B C}|=7$, 则 $|\overrightarrow{A C}|$ 的取值范围是( )
$\because \overrightarrow{A C}=\overrightarrow{A B}+\overrightarrow{B C}, \therefore|\overrightarrow{A C}|=|\overrightarrow{A B}+\overrightarrow{B C}| \leq|\overrightarrow{A B}|+|\overrightarrow{B C}|=17,|\overrightarrow{A C}|=|\overrightarrow{A B}+\overrightarrow{B C}| \geq|\overrightarrow{A B}|-|\overrightarrow{B C}|=3$,

$\therefore 3 \leq|\overrightarrow{A C}| \leq 17$.