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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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To find the equation of the plane through the intersection of the planes \(3x - y + 2z - 4 = 0\) and \(x + y + z - 2 = 0\) and passing through the point \((2, 2, 1)\), we can follow these steps: ### Step 1: Write the equations of the given planes The equations of the planes are: 1. \(P_1: 3x - y + 2z - 4 = 0\) 2. \(P_2: x + y + z - 2 = 0\) ### Step 2: Form the equation of the plane through the intersection ...
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