Find the equation of the plane through the points `P(1,\ 1,\ 0),\ Q(1,\ 2,\ 1)a n d\ R(-2,\ 2,\ -1)dot`

Explanation

We have to find the equation of plane passing though point (1, 1,0), (1,2,1) and (-2,2,-1)

Then the equation of the plane pasing through(1, 1,0), (1,2,1) and (-2,2,-1) is

`|(x-1,y-1,z-0),(1-1,2-1,1-0),(-2-1,2-1,-1-0)|=0`

`|(x-1,y-1,z),(0,1,1),(-3,1,-1)|=0`

`implies (-2)(x-1)−3(y-1)+3z=0`

`implies-2x-3y+3z+2+3=0`

`implies -2x-3y+3z+5=0`

`implies 2x+3y-3z=5`