Problem 6. Let P(1, -2, 4) and v = (3, 1, –5), and let l be the line passing through P and in the direction of v. Let II be the plane defined by the equation 4х — Зу + 2х 3D 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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