If A =2 i +3 j +6 k and B =3 i -6 j +2 k then vector perpendicular to both A and B has…

If \(\overrightarrow{\mathrm{A}}=2 \hat{\mathrm{i}}+3 \hat{\mathrm{j}}+6 \hat{\mathrm{k}}\) and \(\overrightarrow{\mathrm{B}}=3 \hat{\mathrm{i}}-6 \hat{\mathrm{j}}+2 \hat{\mathrm{k}}\) then vector perpendicular to both \(\overrightarrow{\mathrm{A}} \text { and } \overrightarrow{\mathrm{B}}\) has magnitude k times that of \((6 \hat{i}+2 \hat{j}-3 \hat{k})\). That k is equal to