Express the vector field D = (x²+y²)⁻¹ (X2x + Y2y) in cylindrical components and cylindrical variables.
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Express the vector field D = (x²+y²)⁻¹ (X2x + Y2y) in cylindrical components and cylindrical variables.
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- Problem 2 (Nodal Analysis): Find V. Express the result in polar form. j4 2 ll + V, 2/0° A (4 5Ω -j3 Q 3/45° AGiven vector A = xz ax -xy ay +yz az Transform A into cylindrical coordinate and it's magnitude at point (1,30o,2) is equal to:A vector has a magnitude of 2.8 m and points in a direction that is 135 counterclockwise from the a axis. You may want to review (Page 71).
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- c) The geodesics of the sphere are great circles. Thinking of θ = 0 as the North pole and θ = π as the South pole, find a set a solutions to the geodesic equation corresponding to meridians, andalso the solution corresponding to the equator.Vector v = <-4,4> and vector w = <-2,-1>. Draw the vector v+w and give its component form.solve for the cylindrical and spherical coordinates of vector N=24i-2j+9k and show the illustration of the graph of spherical and cylindrical.
- show that the vectors A= 1/2 q1+ 1/2 q2+1/2 q3+ 1/2 q4 and B= 1/2 q1 - 1/2 q2 + 1/2 q3 - 1/2 q4 . where q1, q2, q3, and q4 are unit vectors, are orthogonal.Imagine that you take the cross product A x B, where A=2x + 74 and B=2x + € + 1ŷ. What is the z-component of the resulting vector?Let the x-, y-, and z-axes be identified as axes 1, 2, and 3, respectively. Find the angle between A and axis 2 if A=0.17, Ay = 2.76, and A₂ = 2.98. [Hint: Write the unit vector in the direction of axis 2 and use A. B = A₂ B₂ + A, B, + A₂B₂ = AB cos 1 Φ Record your numerical answer below, assuming three significant figures. A