Let the plane containing the line of intersection of the planes P 1: x+(λ+4) y+z=1 and P 2: 2 x+ y+z=2 pass through the points (0,1,0) and (1,0,1).…

Let the plane containing the line of intersection of the planes $\displaystyle \mathrm{P} 1: x+(\lambda+4) y+z=1$ and $\displaystyle \mathrm{P} 2: 2 x+$ $\displaystyle y+z=2$ pass through the points $\displaystyle (0,1,0)$ and $\displaystyle (1,0,1)$. Then the distance of the point $\displaystyle (2 \lambda, \lambda,-\lambda)$ from the plane P $\displaystyle 2$ is