If the relation between the spherical coordinates x' and the rectangular Cartesian coordinates x is given by x' = x' sin x? cos x? x? = x' sin x? sin x3 x3 = x' cos x? Then the metric tensor gij is equal to (지1)2 (x'sinx²)². (표1)2 (x'cosx?)². Lo (x')² (x²sinx³)². None of these
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![If the relation between the spherical coordinates x' and the rectangular Cartesian
coordinates x' is given by
x' = x' sin x? cos x²
x2 = x' sin x? sin x3
x3 = x' cos x2
Then the metric tensor gij is equal to
1
0 (x')2
(x'sinx²)²]
0 (죠1)2
Lo
(x'cosx²)²
0 (x')?
(고sinz®)2.
None of these](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe2195993-471f-4c12-b015-5e736a043c0e%2F05cf8467-791d-49e3-990c-0d318e6b9d15%2Fxjfo24j_processed.jpeg&w=3840&q=75)
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