Let P(1, –2, 4) and v = (3, 1, –5), and let I be the line passing through P and in the direction of v. Let II be the plane defined by the equation 4x – 3y + 2z = 15. a) Find the parametric equations of the line l. b) Find the intersection of the line l with the plane II. c) Determine the distance from P to the plane II.

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