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Plane through (1,1,1) perpendicular to the planes 2x + y - 2z = 5 and 3x - 6y - 2z = 7

The same question, asked 2 times: 3 May 2023 S2*, 9 May 2023 S1. Every wording below, oldest first.

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  1. Question 1

    3 May 2023 S2

    126
    The equation of the plane passing through the point (1,1,1)(1,1,1) and perpendicular to the planes 2x−y−2z=52x-y-2z=5 and 3x−6y+2z=73x-6y+2z=7 is

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  2. Question 2

    9 May 2023 S1

    111
    The equation of the plane, passing through the point (1,1,1)(1,1,1) and perpendicular to the planes 2x+y−2z=52x+y-2z=5 and 3x−6y−2z=73x-6y-2z=7, is

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