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Find the vector equation of the plane determined by the points A(3, -1,2), B(5,2, 4) and C(- 1, - 1, 6).

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Find the vector equation of the plane determined by the points A(3, -1,2), B(5,2, 4) and C(- 1, - 1, 6). Also find the distance of point P(5, 5, 9) from the plane.

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According to the question, the plane is passing through three points A(3, -1, 2), B(5, 2, 4) and C(-1, -1,6)

We know that the equation of plane through three non-collinear points is

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