Find the equation of the plane passing through the following points: `(-5,\ 0,\ -6),\ (-3,\ 10 ,\ -9)a n d\ (-2,\ 6,\ -6)dot`

Explanation

We have to find the equation of plane passing though point (-5, 0,-6), (-3,10,-9) and (-2,6,-6)

Then the equation of the plane pasing through(-5, 0,-6), (-3,10,-9) and (-2,6,-6) is

`|(x+5,y-0,z+6),(-3+5,10-0,-9+6),(-2+5,6-0,-6+6)|=0`

`|(x+5,y,z+6),(2,10,-3),(3,6,0)|=0`

`implies 18(x+5)-9y-18(z+6)=0`

` implies 2(x+5)-y-2(z+6)=0`

`implies 2x+10-y-2z-12=0`

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

...