Let \(\overrightarrow{\mathrm{a}}=3 \hat{\mathrm{i}}-\hat{\mathrm{j}}+2 \hat{\mathrm{k}}, \overrightarrow{\mathrm{~b}}=\overrightarrow{\mathrm{a}} \times(\hat{\mathrm{i}}-2 \hat{\mathrm{k}})\) and \(\overrightarrow{\mathrm{c}}=\overrightarrow{\mathrm{b}} \times \hat{\mathrm{k}}\). Then the projection of \(\overrightarrow{\mathrm{c}}-2 \hat{\mathrm{j}}\) on \(\overrightarrow{\mathrm{a}}\) is :
1
3√7
2
\(\sqrt{14}\)
3
\(2\sqrt{14}\)
4
\(2\sqrt{7}\)
5
Question Not Attempted