Mathematics, 25.11.2021 05:40 yasameenakbari
Consider F=<-y, x> Let C be the unit circle oriented CCW. Let S be the unit square oriented CCW (.e. segments from (1,0) to (1,1) to (0,1) to (0,0) to (1,0))
a) Show that all vectors of F on curve C have a magnitude of 1.
b) Show that all vectors of F on curve C are tangent to the circle C. (Hint: the radius to any point P on a circle is perpendicular to the tangent line at point P.)
c) Show that the line integral of F over C = the length of C.
d) Find the line integral of F over S.
e) Is F path independent? How do you know? Justify your answer in two ways.
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Consider F=<-y, x> Let C be the unit circle oriented CCW. Let S be the unit square oriented CC...
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