Problem 3: [20 pts] The equation ax + by + cz = 0 describes a plane in R that passes through the origin. The curve C in R3 is parameterized by r (t) = (-6 sin(2t), 8 sin(2t), 10 cos(2t)) for 0 Et n. A. [10 pts] Find all points (x, y, 2) in Ro where the curve C intersects the plane x + 2y - z = 0. Explain your work; solutions with insufficient or unclear explanations will be penalized.Recall that The equation as + by + oz 2 0 describes a plane in R3 that passes through the origin. The curve C in R3 is parameterized by r (t) = (6 sin(2t),8sin(2t), 10 cos(2t)) for 0 S t 3 7r. B. [10 pts] Find specic values for a, b, and c - not all of which are 0 - so the curve traced out by ?(t) lies on the plane on: + by + oz 2 0 or state that no such scalars exist. Explain your work; solutions with insufcient or unclear explanations will be penalized