Find (vec(a) + 2vec(b)).(3 vec(a) - vec(...

Find `(vec(a) + 2vec(b)).(3 vec(a) - vec(b))`, if `vec(a) = hat(i) + hat(j) + 2hat(k)` and `vec(b) = 3hat(i) + 2hat(j) - hat(k)`.

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