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The sum and difference of two vectors ve...

The sum and difference of two vectors `vec(A)` and `vec(B)` are `vec(A) +vec(B) = 2hati +6 hatj + hatk` and `vec(A) - vec(B) = 4 hati +2 hatj - 11 hatk`. Find the magnitude of each vector and their scalar product `vec(A) vec(B)`.

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