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Let vec(PR) = 3hat(i) + hat(j) - 2hat(k)...

Let `vec(PR) = 3hat(i) + hat(j) - 2hat(k) and vec(SQ) = hat(i) - 3hat(j) - 4hat(k)` determine diagonals of aparallelogram PQRS and `vec(PT) = hat(i) + 2hat(j) + 3hat(k)` be another vector. Then the volume of the parallelopiped determined by the vectors `vec(PT), vec(PQ) and vec(PS)` is

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