Find the equation of the plane passing through the following points: `(2,\ 1,\ 0),\ (3,\ -2,\ -2)a n d\ (3,\ 1,\ 7)dot`

Explanation

We have to find the equation of plane passing though point (2, 1,0), (3,-2,-2) and (3,1,7)

Then the equation of the plane pasing through(2, 1,0), (3,-2,-2) and (3,1,7) is

`|(x-2,y-1,z-0),(3-2,-2-1,-2-0),(3-2,1-1,7-0)|=0`

`|(x-2,y-1,z),(1,-3,-2),(1,0,7)|=0`

`implies (x-2)(-21+0)-(y-1)(7+2)+z(3)=0`

`implies -21x+42-9y+9+3z=0`

`implies -21x-9y+3z+51=0`

`implies 7x+3y-z-17=0`

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