Given a point P(1,1,2) and a plane a in R' defined by the equation 2a + y-22 = 0. (a) Find an equation of the line, passing through the point P. that is perpendicular to the given plane a. (b) Find the minimum distance from the point P to the given plane 7. (c) Use orthogonal projection to find the point of intersection of the plane a with the line found in part (a).

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