2. Consider the plane determined by the three points (3,−1, 2), (8, 2, 4) and (−1, −2, —3). (a) Find an equation for the plane passing through these points. (b) Find an equation of a line that is perpendicular to this plane (c) Find an equation of a line that intersects the line you gave in b.) that does not intersect the plane you gave in part a.). (d) Find the angle between the two lines you gave in part b.) and c.)

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