Q1(a) For which value of a the field v = (y– x)ỉ +(2x – y)j +azk is solenoidal.(b)Find the gradient of the scalar field ø = x²y – 2xz at (1,0,-1).(c)Find the potential of the vector field F = (x² +2y)i +(2x +3y )j

Answered: Q1(a) For which value of a the field v…

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Vectors In Two And Three Dimensions

Section9.FOM: Focus On Modeling: Vectors Fields

Problem 11P

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Q1(a) For which value of a the field v = (y– x)ỉ +(2x – y)j +azk is solenoidal. (b) Find the gradient of the scalar field ø = x²y - 2xz at (1,0,-1). (c) Find the potential of the vector field F = (x² +2y)i +(2x +3y )j %3D