Find the equation of the plane which is perpendicular to the plane `5x+3y+6z+8=0` adn which contailns the line of intersedtion of the planes `x+2y+3z-4=0a n d2x+y-z+5=0.`

Explanation

`x + 2y + 3z - 4 = 0` and `2x + y - z + 5 = 0`


`(x + 2y + 3z -4) + lambda(2x + y - z + 5) = 0`

`Rightarrow x(1 +2lambda) + y(2 + lambda) + z(-lambda + 3) -4 + 5 lambda = 0 ldots (i)`


Also, this is perpendicular to the plane `5x + 3y + 6z + 8 = 0`

`therefore 5+10lambda + 6 + 3lambda + 18 - 6lambda = 0`


...