Equation of plane perpendicular to the interse6of two lines
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If the plane is perpendicular to the line, the normal vector of the plane is equal to the direction vector of the line (convince yourself of this). A plane equation with normal vector (a,b,c) and passing through the point (x0,y0,z0) is a(x−x0)+b(y−y0)+c(z−z0)=0
I hope it will help you
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