Find the equation of the plane passing through the following points: `(0,\ -1,\ 0),(3,\ 3,\ 0)a n d\ (1,\ 1,\ 1)dot`

Explanation

We have to find the equation of plane passing though point (0, -1, 0), (3, 3,0) and (1, 1, 1)

Then the equation of the plane pasing through (0, -1, 0), (3, 3,0) ,and (1, 1, 1) is

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

`|(x,y+1,z),(3,4,0),(1,2,1)|=0`

`implies 4x-3(y+1)+2z=0`

` implies 4x-3y+2z-3=0`

`implies 4x-3y+2z=3`