Question 50

Let $$\overrightarrow{PR} = 3\widehat{i} + \widehat{j} - 2\widehat{k}$$ and $$\overrightarrow{SQ} = \widehat{i} - 3 \widehat{j} - 4\widehat{k}$$ determine diagonals of a parallelogram PQRS and $$\overrightarrow{PT} = \widehat{i} + 2\widehat{j} + 3\widehat{k}$$ be another vector. Then the volume of the $$\overrightarrow{PT}, \overrightarrow{PQ}$$ and $$\overrightarrow{PS}$$ is


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