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Let bar(a)=2hat i+hat j-2hat k,bar(b)=ha...

Let `bar(a)=2hat i+hat j-2hat k,bar(b)=hat i+hat j` and `bar(c)` be a vector such that `|bar(c)-bar(a)|=3,|(bar(a)timesbar(b))timesbar(c)|=3` and the angle between `bar(c)` and `bar(a)timesbar(b)` is `30^(@)` . Then,`bar(a).bar(c)` is equal to

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