If `vec(a)=hati+hatj+hatk,vec( c )=hatj-hatk` are given vectors, then find a vector `vec(b)` satisfying the equations `vec(a)xx vec(b)=vec( c )` and `vec(a).vec(b)=3`.
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The correct Answer is:
`vec(b)=(5)/(3)hati+(2)/(3)hatj+(2)/(3)hatk`
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