EE 2324 Analytical Foundations of Electrical Engineering Fall 2020 Midterm Exam 2 Instructions: 0 This exam is open notes 0 Once you start the exam you have 3 hours to finish it and send it back. 0 Show all work. If you don’t write anything down, you can't get partial credit. Question 1 (10 points) - Are the following vectors orthogonal? u=2i—5j+0k v=10i+4i+7k Question 2 (10 points) Calculate the cross product of the two vectors in Question 1. Show your work. 2 = u x v

Question 3 (10 points) Is the vector you found in Question 2 orthogonal to u and v from Question 1? Question 4 (10 points) - Calculate the cross product C below. A = 31 + 2j - 6k B = 1i - 3j + 2k C = 2A X 3B

Question 5 (30 points} Given the following set of parametric equations for C, ?nd r(t), r’ (t), and r”(t). Show your work. Be sure to write something down for all three tasks. at = £39323) = t?z = 3t3e‘

Question 6 (30 points) For v=[4x3y2, 3x2y3z, 4xyzz3], find the divergence of u. Also, find the curl of v.

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