Find the Cartesian equation of the plane containing P, Q and it.Find the vector, parametric scalar and Cartesian equations of the line passing through P and perpendicular to the plane containing P, Q and R.

1. 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 scalar component of /= in the direction of M.
(b) Find the vector projection of P in the direction of M.
(c) Calculate the area of triangle PQR. You may leave your answer in exact surd form.
(d) Find the Cartesian equation of the plane containing P, Q and it.
(e) Find the vector, parametric scalar and Cartesian equations of the line passing through P and perpendicular to the plane containing P, Q and R.

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