Let \[\mathbf{a}=2\mathbf{i}+\mathbf{j}-2\mathbf{k}\] and \[\mathbf{b}=\mathbf{i}+\mathbf{j}.\] If c is a vector such that \[\mathbf{a}\,.\,\mathbf{c}=\,|\mathbf{c}|,\,\,|\mathbf{c}-\mathbf{a}|\,=2\sqrt{2}\]and the angle between \[(\mathbf{a}\times \mathbf{b})\] and c is \[{{30}^{o}}\], then \[|\,(\mathbf{a}\times \mathbf{b})\times \mathbf{c}|\,=\] [IIT 1999]

• A. \[\frac{2}{3}\]
• B. \[\frac{3}{2}\]
• C. 2
• D. 3