Find the equation of the plane through the points `(1,0,-1),(3,2,2)` and parallel to the line `(x-1)/1=(y-1)/(-2)=(z-2)/3` .

Explanation

`(x-1)/1=(y-1)/(-2)=(z-2)/3`

`A=(1,0,-1),B=(3,2,2)`

Direction of ` vec{AB}=2hat{i}+2 hat{j}+3 hat{k}`


Normal vector, `vec{n}=vec{PQ} times vec{text{Direction ratios of givenline}}`



`=12 hat{i}-3hatj-6hat{k}`

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