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5.1 Read about spherical coordinates at http://en.wikipedia.org/wiki/ Spherical coordinate system (i) Draw a set of Cartesian axes labeled X,y,z and place a vector 17 with
5.1 Read about spherical coordinates at http://en.wikipedia.org/wiki/ Spherical coordinate system (i) Draw a set of Cartesian axes labeled X,y,z and place a vector 17 with its base at the origin canted at polar angle 3 away from the z-aXis such that F '5 projection on to the X-y plane makes an angle Q from the x-axis. Mark these angles 8 and go. Now draw the infinitesimal volume element dr at the end of vector .77 that results from varying the radial distance from r to r + dr , and angles from .9 to 3 + d 3 , and (/1 to (p + d(/) . Identify the particular side dimensions of d 2' on your diagram and thereby justify that the expression for dz" in spherical coordinates is, dr =r2sin3d3ddr
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