Question: Consider the vector field F(x, y, z) = y cos (xy) i + x cos (xy) j sin zk. (i) Calculate the curl of

Consider the vector field F(x, y, z) = y cos (xy) i + x cos (xy)j ? sin zk. (i) Calculate the curl of the vector field F. Sta

Consider the vector field F(x, y, z) = y cos (xy) i + x cos (xy) j sin zk. (i) Calculate the curl of the vector field F. State whether F is conservative. (ii) Let C be the curve joining the origin (0, 1, 1) to the point with coordinates (1,22,2) defined by the following parametric curve In t In 2 Calculate the scalar line integral of the vector field. [F r(t) = dr. 3 i+tj+t costk, 1 t 2.

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