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i know and understand the component of curl/line integral relation as: [tex]curlF\cdot u=\lim_{A(C)\to0}\frac{1}{A(C)} \oint_C F\cdot dr[/tex] where we have vector field [itex]F[/itex], [itex]A(C)[/itex] is the area of a closed boundary, [itex]u[/itex] is an arbitrary unit vector, [itex]dr[/itex] is an infinitely small piece of curve [itex]C[/itex]

my question is, how does this definition change if i have, say [itex]curlF\cdot {x}[/itex] versus [itex]curlF\cdot {z}[/itex] where [itex]x[/itex] and [itex]z[/itex] are the unit vectors in the standard cartesian system.

thanks for the feedback! you guys/girls are amazing!

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# Curl and its relation to line integrals

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