how do you find the equation of the plane through (1 2 3) parallel to the plane 4x+5y-3z=7

Question : Find the equation of the plane through (1 2 3) parallel to the plane 4x+5y-3z=7Solution :Let equation of the plane isax+by+cz+d=0                                                                             (1)Since this plane passes through (1,2,3) hencea+2b+3c+d=0                                                                               (2)Subtracting eqn (2) from eqn (1)a(x-1)+b(y-2)+c(z-3)=0                                                 (3)Since this plane is…

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