3. Find the eigenvalues and eigenvectors of 010 100 002
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- find u(x,y) , v(x,y) where f(z)=u+iv for function f(z)=Z2 e2zTwo infinitely-long conductors parallel to the z-axis pass through the points (0,±a).Two infinite sheets of current flow parallel to the y-z plane as shown. The sheets are equally spaced from the origin by x = 6.1 cm. Each sheet consists of an infinite array of wires with a density n = 15 wires/cm. Each wire in the left sheet carries a current l₁ = 3.3 A in the negative z- direction. Each wire in the right sheet carries a current 1₂ = 4 A in the positive z-direction. R 1₁ H P % % OOOO OOO S X
- Use DeMorgan's theorem, Boolean algebra, and the method of splitting vinculum to simplify the following expression. Which is the correct answer? Y = A+ B (C + D) Expression A. Y = A + B + C + D Expression B. Y = A+B + C +D Expression C. - - Y = AB + AC+ AD Expression D. Y = A +B +C + D30. Suppose ,m) is a common eigenvector of î² and î₂ . Then î²|l,m) = Î₂|l,m) = Î ± |l,m) = = (1,m|L²|1',m) (1,m|L₂|I',m') (1,m|L₂|1',m') = =Given the points in space, A = (4,2,– 3), B = (-2,5,1), and C = (5,1,– 2) A) Find a parametric set of equations for the line through point A parallel to the line through points B and C. B) Find the equation of the plane containing points A, B, and C using a vector approach (from chapter 11). C) Find the coordinates of a point on the plane other than A, B, or C which does not lie on a coordinate axis. (no 0 coordinates)