The vectors `a=2hati+hatj-2hatk, b=hati+hatj`. If c is a vector such that `a.c=|c|

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The vectors `a=2hati+hatj-2hatk, b=hati+hatj`. If c is a vector such that `a.c=|c| and |c-a|=2sqrt2,` angle between `axxb` and c is `45^(@)`, then `|(axxb)xxc|` is
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