Let the vertices Q and R of the triangle PQR lie on the line $\frac{{x + 3}}{5} = \frac{{y - 1}}{2} = \frac{{z + 4}}{3},QR = 5$ and the coordinates of the point P be (0,2,3). If the area of the triangle PQR is $\frac{m}{n}$ then:
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