If $\vec{A}=(2 \hat{i}+3 \hat{j}-\hat{k})\, \mathrm{m}$ and $\vec{B}=(\hat{i}+2 \hat{j}+2 \hat{k}) \,\mathrm{m}$. The magnitude of component of vector $\vec{A}$ along vector $\vec{B}$ will be ____________ $\mathrm{m}$.