(1) Let be the line segment from a point Ato a point BinRn, and let Cbe a differentpiecewise smooth path from AtoB.(a) Let vec(F)be a vector field and suppose that Cvec(F)*dvec(r)=17. What, if anything, canwe conclude about vec(F)*dvec(r)?(b) Let be a scalar function onRn with component functions that have continuousfirst order partials onRn. Let G=vec(grad). Suppose that Cvec(G)*dvec(r)=-5. What, ifanything, can we conclude about vec(G)*dvec(r)?(2) Fix the points O,A,B and CinR2(drawn below). Let ?bar(OA) denote the (oriented)line segment from Oto A with similar notation for other line segments. Suppose vec(E)is a conservative vector field onR2 and that?bar(OA)vec(E)*dvec(r)=12,?bar(OB)vec(E)*dvec(r)=-7,?bar(OC)vec(E)*dvec(r)=3.Use this to determine the following integrals.(a)?bar(AO)vec(E)*dvec(r)(c)?bar(AC)vec(E)*dvec(r)(b)?bar(AB)vec(E)*dvec(r)(d)?bar(BC)vec(E)*dvec(r)