Let hat a=2 hat i+ hat j-2 hat k and v...

Let ` hat a=2 hat i+ hat j-2 hat k` and ` vec b= hat i+ hat j` . Let ` vec c` be a vector such that `| vec c- vec a|=3,|( vec axx vec b)xx vec c|=3` and the angle between ` vec c` and ` vec axx vec b` be `30^0` . Then ` vec adot vec c` is equal to : `5` (2) `1/8` (3) `(25)/8` (4) `2`

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