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Plane through the origin and the feet of the perpendiculars from a point to two coordinate planes

The same question, asked 2 times: 17 Apr 2026 S2*, 19 Apr 2026 S1. Every wording below, oldest first.

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  1. Question 1

    17 Apr 2026 S2

    95
    If A and B are the feet of the perpendiculars drawn from (1,2,3)(1, 2, 3) to planes YZYZ and ZXZX, then the equation of the plane passing through the points A, B and the origin is

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  2. Question 2

    19 Apr 2026 S1

    94
    From a point P (a,b,c)(a, b, c), perpendiculars PA and PB are drawn to XY plane and ZX plane respectively. If O is the origin, then the equation of plane OAB is

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