A Plane passes through the three points (x, y, z) = (1, 0, 0), (0, 2, 0),

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A Plane passes through the three points (x, y, z) = (1, 0, 0), (0, 2, 0), (0, 0, 3).
(a) Find a unit vector perpendicular to the plane.
(b) Find the distance from the point (1, 1, 1) to the closest point of the plane and the coordinates of the closest point.
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