Let a, b and c be the first three non-zero digits of your Banner ID number and consider the points P = (2, -1, a), Q = (-3, 4, b) and R = (7,5, c). (a) Find the vector projection of P in the direction of PŘ. (b) Calculate the area of the parallelogram whose edges are given by OP and O. You may leave your answer in exact surd form. (c) Calculate the area of the parallelepiped whose sides are given by OP, O and OR (d) Find the Cartesian equation of the plane containing P, Q and R. (e) Find the vector parametric scalar and Cartesian equations of the line passing

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