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Let vec a=2hat i+hat j- 2hat k ,vec b=h...

Let `vec a=2hat i+hat j- 2hat k ,vec b=hat i+hat j`. If `vec c` is a vector such that `vec a*vec c=|vec c|,|vec c-vec a|=2sqrt2` and the angle between `vec a xx vec b and vec c` is `30^@`, then `|(vec a xx vec b)xx vec c|` equals :

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