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The angle between vectors (vec(M)xx vec(...

The angle between vectors `(vec(M)xx vec(N))` and `(vec(N)xx vec(M))` is

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Let vec(a)=2hati+hatj-2hatk and vec(b)=hati+hatj . Let the vector vec( c ) is such that |vec( c )-vec(a)|=3,|(vec(a)xx vec(b))xx vec( c )|=3 . The angle between vec( c ) and vec(a)xx vec(b) is 30^(@) . Then vec(a).vec( c ) = ……………