Question: Let C be a smooth curve defined by a vector function r(t),atb. Show that(a)Cv*dr=v*(r(b)-r(a)) if v is a constant vector,(b)Cr*dr=12(|r(b)|2-|r(a)|2).

Let C be a smooth curve defined by a vector function r(t),atb. Show that(a)Cv*dr=v*(r(b)-r(a)) if v is a constant vector,(b)Cr*dr=12(|r(b)|2-|r(a)|2).

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