umar78656 umar78656

21-07-2020
Mathematics

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Plane through A(1,-2,1) perpendicular to the vector from origin to A.

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LammettHash LammettHash

21-07-2020

(1, -2, 1) is perpendicular/normal to the plane, and passes through the point (1, -2, 1), so its equation is

[tex](x-1,y+2,z-1)\cdot(1,-2,1)=0\imples(x-1)-2(y+2)+(z-1)=0\implies\boxed{x-2y+z=6}[/tex]

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