Please solve question 9.

Q9. Three vectors $\overrightarrow{\mathrm{A} } , \overrightarrow{\mathrm{B}} \mathrm{and} \overrightarrow{\mathrm{C}}$ add up to zero. Find which is false.
       (a) $\left(\overrightarrow{\mathrm{A}}\times \overrightarrow{\mathrm{B}}\right)\times \overrightarrow{C}$ is not zero unless $\overrightarrow{\mathrm{B}},\overrightarrow{\mathrm{C}}$ are parallel.

       (b) $\left(\overrightarrow{\mathrm{A}}\times \overrightarrow{\mathrm{B}}\right), \overrightarrow{C}$ is not zero unless $\overrightarrow{\mathrm{B}},\overrightarrow{\mathrm{C}}$ are parallel.

       (c) If $\overrightarrow{\mathrm{A}},\overrightarrow{\mathrm{B}}, \overrightarrow{C}$ define a plane, $\left(\overrightarrow{\mathrm{A}}\times \overrightarrow{\mathrm{B}}\right)\times \overrightarrow{C}$ is in that plane.

       (d) $\left(\overrightarrow{\mathrm{A}}\times \overrightarrow{\mathrm{B}}\right). \overrightarrow{C}$ = $\left|\overrightarrow{\mathrm{A}}\right|\left|\overrightarrow{\mathrm{B}}\right|\left|\overrightarrow{\mathrm{C}}\right|\to {\mathrm{C}}^2={\mathrm{A}}^2 +{\mathrm{B}}^2$.