9000100704

Given vectors $\overrightarrow{a}=(2;2;-3)$, $\overrightarrow{b}=(-1;0;1)$, $\overrightarrow{c}=(0;-2;1)$, find the length of the vector $\overrightarrow{u}=\overrightarrow{a}-2\overrightarrow{b}+3\overrightarrow{c}$.