Let a be any vector such that | a |= a. The value of | a × i |^2+| a × j |^2+| a × k |^2 is:

Let $\displaystyle \overrightarrow{\mathrm{a}}$ be any vector such that $\displaystyle |\overrightarrow{\mathrm{a}}|=\mathrm{a}$. The value of \[|\overrightarrow{\mathrm{a}} \times \hat{\mathrm{i}}|^{2}+|\overrightarrow{\mathrm{a}} \times \hat{\mathrm{j}}|^{2}+|\overrightarrow{\mathrm{a}} \times \hat{\mathrm{k}}|^{2} \text { is }: \]