Consider a parallelogram ABCD in a 3-dimensional space, where the coordinates of its vertices are A(-10,25,7), B(18,12,-30), C(5,35,13), and D(-25,15,-18). a) Find the area of the parallelogram using the dot product method. b) Determine the unit vector perpendicular to the parallelogram's plane. c) Verify your results using the cross product method.   In the answer show all the detailed steps and a diagram of the parrallelogram.

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