전자장 , 전자기학 (저자 David K. CHENG Fundamentals of Engineering Electromagnetics) 솔루션

CHAPTER 1 1.1. Given the vectors M 〓 ?10ax + 4ay ? 8az and N 〓 8ax + 7ay ? 2az , ?nd: a) a unit vector in the direction of ?M + 2N. ?M + 2N 〓 10ax ? 4ay + 8az + 16ax + 14ay ? 4az 〓 (26, 10, 4) Thus a〓 b) the magnitude of 5ax + N ? 3M: (5, 0, 0) + (8, 7, ?2) ? (?30, 12, ?24) 〓 (43, ?5, 22), and |(43, ?5, 22)| 〓 48.6. c) |M||2N|(M + N): |(?10, 4, ?8)||(16, 14, ?4)|(?2, 11, ?10) 〓 (13.4)(21.6)(?2, 11, ?10) 〓 (?580.5, 3193, ?2902) 1.2. Given three points, A(4, 3, 2), B(?2, 0, 5), and C(7, ?2, 1): a) Specify the vector A extending from the origin to the point A. A 〓 (4, 3, 2) 〓 4ax + 3ay + 2az b) Give a unit vector extending from the origin to the midpoint of line AB. The vector from the origin to the midpoint is given by M 〓 (1/2)(A + B) 〓 (1/2)(4 ? 2, 3 + 0, 2 + 5) 〓 (1, 1.5, 3.5) The unit vector will be m〓 (1, 1.5, 3.5) 〓 (0.25, 0.38, 0.89) |(1, 1.5, 3.5)| (26, 10, 4) 〓 (0.92, 0.36, 0.14) |(26, 10, 4)|

c) Calculate the length of the perimeter of triangle ABC: Begin wi…