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Unformatted text preview: MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Electrical Engineering and Computer Science 6.013 – Electromagnetics and Applications Problem Set 1 (six problems) Suggested Reading: Text (Staelin), Sections 1.1 – 1.4 plus the prerequisite concepts in Appendix C (complex vector identities); also Sections 2.5 – 2.6, 3.1.1 – 3.1.3, and 3.3.1. In general, the readings and homework cover material presented within a single week (Monday – Friday). This problem set first reviews some of the basic prerequisites so that they can be refreshed as necessary. If several of these problems are too challenging, please discuss this issue with one of the faculty. Problem 1.1 Consider the vectors ⎯ A = 2x ˆ − 2y ˆ + z ˆ and ⎯ B = x ˆ + 2y ˆ − 2z ˆ . Find: (a) ⎯ A + ⎯ B (b) ⎯ A •⎯ B (c) ⎯ A ×⎯ B (d) | ⎯ A| (e) The angle between ⎯ A and ⎯ B (f) The area of the parallelogram defined by ⎯ A and ⎯ B....
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This note was uploaded on 02/02/2012 for the course EE 013 taught by Professor Staelin during the Spring '09 term at MIT.
- Spring '09