Discussion
In cylindrical coordinates \( \mathbf{a}_\rho \times \mathbf{a}_\phi \) equals
Answer: D
Correct answer: \( \mathbf{a}_z \)
The unit vectors form a right-handed set in the order \( \rho, \phi, z \), so each crossed into the next gives the third: \( \mathbf{a}_\rho\times\mathbf{a}_\phi = \mathbf{a}_z \), \( \mathbf{a}_\phi\times\mathbf{a}_z = \mathbf{a}_\rho \), and \( \mathbf{a}_z\times\mathbf{a}_\rho = \mathbf{a}_\phi \). Reversing the order reverses the sign.
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