Let $A$ and $B$ be two opposite corners of a unit cube, and let $C$ be another vertex of the cube other than $A$ and $B.$  Find the distance from $C$ to line $AB.$
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You are a helpful assistant.<|im_end|>
<|im_start|>user
Let $A$ and $B$ be two opposite corners of a unit cube, and let $C$ be another vertex of the cube other than $A$ and $B.$  Find the distance from $C$ to line $AB.$
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
\frac{\sqrt{6}}{3}
Let $A$ and $B$ be two opposite corners of a unit cube, and let $C$ be another vertex of the cube other than $A$ and $B.$  Find the distance from $C$ to line $AB.$
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