10. Let $\vec { a } = 2 \hat { \imath } + \hat { \jmath } - 2 \hat { k }$ and $\hat { b } = \hat { \imath } + \hat { \jmath }$. If $\hat { c }$ is a vector such that $\vec { a } \cdot \vec { c } = | \vec { c } - \vec { a } | = 2 \sqrt { 2 }$ and the angle between $( \vec { a } \times \vec { b } )$ and $\vec { c }$ is $30 ^ { \circ }$, then $| ( \vec { a } \times \vec { b } ) \times \vec { c } | =$\\
(A) $\frac { 3 } { 2 }$\\
(B) $\frac { 3 } { 2 }$\\
(C) 2\\
(D) 3\\