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Find the equation of the plane through the intersection of the planes `3x-y+2z-4=0`and `x+y+z-2=0`and the point (2, 2, 1).

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(A) Find the equation of the plane through the intersection of the plane : 3x - y + 2z - 4 = 0 and x + y + z - 2 = 0 and the point (2,2,1). (b) Find the vector equation of the plane through the intersection of the planes : vec(r) . (hati + hatj + hatk) = 6 " and " vec(r). (2 hati + 3 hatj + 4 hatk) = - 5 at the point. (1,1,1).

(i) Find the equation of the plane passing through the intersection of the planes : 2x - 7y + 4z = 3 and 3x - 5y + 4z + 11 = 0 and the point (-2, 1,3). (ii) Find the equation of plane through the intersection of planes : 3x - y + 2z - 4 = 0 and x + y + z - 2 = 0 and the point (2,2,1) .