Vector Algebra

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 ____________ \(\mathrm{m}\).