Homework_2 - ECE 280 Homework 2 Convert points P (1,3,5) ,...

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ECE 280 Homework 2 1. (a) Convert points ( ) 1, 3, 5 P , ( ) 0, 4,3 T , and ( ) 3, 4, 10 S −−− in Cartesian to cylindrical and spherical coordinates. (b) Transform vector z z y x yz x z y x y x Q ) ) + + + + + = 2 2 2 2 2 2 2 t o cylindrical and spherical coordinates. (c) Evaluate Q at T in the three coordinate systems. 2. Express the following vectors in Cartesian coordinates: (a) () ˆ ˆ ˆ sin 3 cos cos sin zz ρ φρ φ φ ρ φ =+ + A (b) 2 ˆ ˆ sin rr θφ B 3. Refer to the figure below, the object which is part of a spherical shell. It may be described as , , where surface 35 r ≤≤ 60 90 oo θ 45 60 o o 3 r = is the same as AEHD, surface is AEFB, and surface is ABCD. Calculate: 60 o = 45 o = (a) The distance DH (b) The distance FG (c) The surface area AEHD
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Homework_2 - ECE 280 Homework 2 Convert points P (1,3,5) ,...

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