Let \(\vec{a}=3 \hat{\imath}+2 \hat{\jmath}-\hat{k}, \vec{b}=\vec{a} \times(\hat{\imath}-2 \hat{\jmath})\) and \(\vec{c}…

Let \(\vec{a}=3 \hat{\imath}+2 \hat{\jmath}-\hat{k}, \vec{b}=\vec{a} \times(\hat{\imath}-2 \hat{\jmath})\) and \(\vec{c}=\vec{b} \times \hat{k}\), then magnitude of projection of \(\vec{c}-2 \hat{\jmath}\) on \(\vec{a}\) is equal to