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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 :

A

`(2)/(3)`

B

`4`

C

`3`

D

`(3)/(2)`

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The correct Answer is:
D
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