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3. Find the equation of the line or plane ( 10 Marks) a) Plane parallel to the lines r = (1,2, -3) + t (-1,

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3. Find the equation of the line or plane ( 10 Marks) a) Plane parallel to the lines r = (1,2, -3) + t (-1, 0, 4) and r = (3, 1,2) + s(-3, 0, 1) through the point A(2, -1, 2) (parametric) b) Plane through (-2, 1, 5) that is perpendicular to the planes 4x - 2y + 2z = -1 and 3x + 3y - 6z =5 (cartesian) c) The line that is perpendicular to the line 2x - 3y + 1 = 0 through B(1,-4) (standard) ta d) Plane perpendicular to 2x - 3y + 1 = 0 that contains the points A(2, 1 -3) and B(1, 1, 1) br (parametric) fro e) Plane that is parallel to the xy-plane that contains the point A(2, 1, 3) (cartesian)

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