Let 2 2 3 and 2 6 be three vectors If and are both perpendicular to the vector and 10 then what is t...........

Mathematics (NDA) Vector

Let $\overrightarrow{\alpha}$ = $\hat{i}$ +2 $\hat{j}$ - $\hat{k}$ , $\overrightarrow{\beta}$ = 2 $\hat{i}$ - $\hat{j}$ +3 $\hat{k}$ and $\overrightarrow{\gamma}$ =2 $\hat{i}$ + $\hat{j}$ +6 $\hat{k}$ be three vectors.If $\overrightarrow{\alpha}$ and $\overrightarrow{\beta}$ are both perpendicular to the vector $\overrightarrow{\delta}$ and $\overrightarrow{\delta}$ . $\overrightarrow{\gamma}$ = 10,then what is the magnitude of $\overrightarrow{\delta}$ ?