gDavidov
Nov29-11, 07:27 PM
Hi, forum. I just wanted to ask how would I do an integral of a vector function when it's expressed in cylindrical (or any non-canonical orthogonal) coordinates?
So in cartesian coordinates:
\int \vec{F} dt = (\int F_{x} dt) \hat{i} + (\int F_{y} dt) \hat{j} + (\int F_{z} dt) \hat{k}
But in cylindrical, would it be:
\int \vec{F} dt = (\int F_{\rho} dt) \hat{\rho} + (\int F_{\theta} dt) \hat{\theta}+ (\int F_{z} dt) \hat{k}?
So in cartesian coordinates:
\int \vec{F} dt = (\int F_{x} dt) \hat{i} + (\int F_{y} dt) \hat{j} + (\int F_{z} dt) \hat{k}
But in cylindrical, would it be:
\int \vec{F} dt = (\int F_{\rho} dt) \hat{\rho} + (\int F_{\theta} dt) \hat{\theta}+ (\int F_{z} dt) \hat{k}?