The points P P\,P and Q Q\,Q have position vectors (2−14)\begin{pmatrix} 2 \\ -1 \\ 4 \end{pmatrix}2−14 and (53−2)\begin{pmatrix} 5 \\ 3 \\ -2 \end{pmatrix}53−2 respectively.
Find the exact length of PQPQPQ.
