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Given the coordinate transformation
u[sub]1[/sub] = xy
2u[sub]2[/sub] = x[sup]2[/sup] + y[sup]2[/sup]
u[sub]3[/sub] = z,
Determine if the coordinate system is orthogonal.
Determine if the following vector is solenoidal,
A = 3y^4 z^2 i + 4x^3 z^2j- 3x^2y^2
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