Let P R =3 i + j -2 k and S Q = i -3 j -4 k determine diagonals of a parallelogram PQRS…

Let \(\overrightarrow{P R}=3 \hat{i}+\hat{j}-2 \hat{k}\) and \(\overrightarrow{S Q}=\hat{i}-3 \hat{j}-4 \hat{k}\) determine diagonals of a parallelogram PQRS and \(\overrightarrow{P T}=\hat{i}+2 \hat{j}+3 \hat{k}\) be another vector. Then the volume of the parallelopiped determined by the vectors \(\overrightarrow{P T}, \overrightarrow{P Q} \text { and } \overrightarrow{P S}\) is