express the vector feild 2yi-zj+3xk in spherical polar coordinate system
Answer (1)
15th Jul, 2021
The vector can be expressed as (X,Y,Z)=(2y,−z,3x). And if the center of the sphere is (0,0,0) the radius will be expressed as r=OM=(4y^2+z^2+9x^2)^(1/2).By this formula (X,Y,Z)=(rcosθsin,rsinθsin,rcos) you can get the result of theta as arctan(−z/2y) and =arccos(3x/r).Now you can easily substitute the values of theta and phi and solve to get the answer.
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