Given $\bar{a}=2 \bar{i}+\bar{j}-2 \bar{k}$ and $\bar{b}=\bar{i}+\bar{j}$. If $\bar{c}$ is a vector such…
Given $\bar{a}=2 \bar{i}+\bar{j}-2 \bar{k}$ and $\bar{b}=\bar{i}+\bar{j}$. If $\bar{c}$ is a vector such that $\bar{a} \cdot \bar{c}=|\bar{c}|,|\bar{c}-\bar{a}|=2 \sqrt{2}$ and the angle between $\bar{a} \times \bar{b}$ and $\bar{c}$ is $30^{\circ}$, then the value of $|(\bar{a} \times \bar{b}) \times \bar{c}|^2$ is