This paper circulates around the core theme of Let F(x,y,z) = (y,−3x,y z) and G = ∇×F. Calculate the surface integral I =RRS G·ˆ together with its essential aspects. It has been reviewed and purchased by the majority of students thus, this paper is rated 4.8 out of 5 points by the students. In addition to this, the price of this paper commences from £ 24. To get this paper written from the scratch, order this assignment now. 100% confidential, 100% plagiarism-free.
Let F(x,y,z) = (y,−3x,y z) and G = ∇×F. Calculate the surface integral I =RRS G·ˆ ndS, where the surface S is the triangular portion of the plane deﬁned by the three vertices (x,y,z) = (2,0,0), (x,y,z) = (0,1,0), (x,y,z) = (0,0,4).
a) Sketch the surface S and write the cartesian equation of the plane. b) Write a parametrization of the surface S. c) Calculate I.