Let P (α, β, γ) be the image of the point Q (3,-3,1) in the line (x-0)/1=(y-3)/1=(z-1)/-1 and R be the point (2, 5, -1). If the area of the triangle…

Let $\displaystyle \mathrm{P}(\alpha, \beta, \gamma)$ be the image of the point $\displaystyle \mathrm{Q}(3,-3,1)$ in the line $\displaystyle \frac{x-0}{1}=\frac{y-3}{1}=\frac{z-1}{-1}$ and R be the point ($\displaystyle 2$, $\displaystyle 5$, -$\displaystyle 1$). If the area of the triangle PQR is $\displaystyle \lambda$ and $\displaystyle \lambda^2=14 \mathrm{~K}$, then K is equal to :