Ask your own question, for FREE!
MIT 18.02 Multivariable Calculus, Fall 2007
OpenStudy (anonymous):

Hey, I am not sure about the Green's Theorem. Close loop integral of vector F dot vector dr. It states that dr is a position vector and equals Unit Tangent multiply by the ds. I am confused about the dr and ds. Are they the same thing? Since unit tangent equals one. So does it mean that dr = ds ?? Thanks..

OpenStudy (anonymous):

You're forgetting that dr is a vector while ds is a scalar. ds = |dr|. T, the unit tangent vector to the curve, holds the direction information. So multiplying the unit tangent vector with the magnitude of dr, which is ds, gives you the quantity dr.

OpenStudy (anonymous):

ok this is what i was taught FLUX=F dot nds CIRCULATION= F dot Tds now Tds=(dx,dy) "circulation is tedious-Tds) nds=(dy,-dx) since these two are perpendicular to each other (simply take the dot product) you can see why flux is = nds and circulation = Tds flux is the flow to stuff in or out of the area of interest, and circulation is the curl of stuff in the area of interest. Most times when you do examples if the Flux(div) is 0 then there will be curl and same goes for curl=0 then there will be flux

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Latest Questions
Tonycoolkid21: help
6 hours ago 8 Replies 1 Medal
Tonycoolkid21: help
14 minutes ago 16 Replies 3 Medals
crispyrat: A guide to sqrt and cbrt
7 hours ago 21 Replies 3 Medals
xXQuintonXx: help please(ss below)
8 hours ago 5 Replies 1 Medal
rxcklesskaisher: idk wdh dis is
5 minutes ago 4 Replies 0 Medals
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!