Discussion
The curl of \( \mathbf{A} = y\mathbf{a}_x \) is
Answer: B
The z component of the curl is \( \partial A_y/\partial x - \partial A_x/\partial y \), which here is \( 0 - 1 = -1 \). A shear field of this kind does circulate, which is why a single component does not imply a vanishing curl.
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