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Curl question

dwsmith

Well-known member
Feb 1, 2012
1,673
$\newcommand{\unit}[1]{\hat{\mathbf{#1}}}$
Let $\varphi = F_1h_1$ and $\mathbf{v} = \frac{\unit{u}_1}{h_1}$.
Why is $\varphi\nabla\times\mathbf{v} = 0$ but $\nabla\varphi\times\mathbf{v}$ not?
 

Ackbach

Indicium Physicus
Staff member
Jan 26, 2012
4,197
Of the symbols $F_{1}$, $h_{1}$, and $\hat{\mathbf{u}}_{1}$, which are variable, depending on position, and which are constant?