Let (λ, 2,1) be a point on the plane which passes through the point (4,-2,2). If the plane is perpendicular to the line joining the points (-2, -21,…

Let $\displaystyle (\lambda, 2,1)$ be a point on the plane which passes through the point $\displaystyle (4,-2,2)$. If the plane is perpendicular to the line joining the points (-$\displaystyle 2$, -$\displaystyle 21$, $\displaystyle 29$) and (-$\displaystyle 1$, -$\displaystyle 16$, $\displaystyle 23$), then $\displaystyle \left(\frac{\lambda}{11}\right)^2-\frac{4 \lambda}{11}-4$ is equal to \_\_\_\_.