Determine o rotacional dos seguintes campos vetoriais: $$\m...

Determine o rotacional dos seguintes campos vetoriais:

$\mathbf{P} = x^2yz \mathbf{a}_x + xz \mathbf{a}_z$

$\mathbf{Q} = \rho sen\phi \mathbf{a}_\rho + \rho^2z \mathbf{a}_\phi + zcos\phi \mathbf{a}_z$

$\mathbf{T} = \frac{1}{r^2}cos\theta \mathbf{a}_r + rsen\theta cos\phi \mathbf{a}_\theta + cos\theta \mathbf{a}_\phi$

$Determine o rotacional dos seguintes campos vetoriais: $$\mathbf{P} = x^2yz \mathbf{a}_x + xz \mathbf{a}_z$$ $$\mathbf{Q} = \rho sen\phi \mathbf{a}_\rho + \rho^2z \mathbf{a}_\phi + zcos\phi \mathbf{a}_z$$ $$\mathbf{T} = \frac{1}{r^2}cos\theta \mathbf{a}_r + rsen\theta cos\phi \mathbf{a}_\theta + cos\theta \mathbf{a}_\phi$$$

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