Scalar factors of parabolic cylindrical coords

AI Thread Summary
To find the scalar factors of parabolic cylindrical coordinates, one must derive them from the transformation equations provided. The scalar factors can be calculated using the Jacobian determinant, which relates to the volume element dV. It is important to understand that the product of the scalar factors equals dV, which is crucial for applications like Laplacian, curl, and divergence. The assumption that hz=1 may not be valid without proper justification, and further clarification on deriving the scalar factors is needed. Understanding these concepts will help in showing the work effectively.
lazyluke
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Homework Statement


I have a question to find Scalar factors of parabolic cylindrical coords and element dV with provided tranformation equations. I know the values for both of them and that the product of the scalar factors is the dV, but how do i derive those scalar factors? I don't even know where to start, i know i can use them to find Laplacian, curl and divergence but how do i find those values? how do i show my work? Please help Thank You Luke


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