2. Verify the following properties of the curl. (i) Sum of two vector fields: V × (F+ G) = V × F+ V × G. (ii) Product of a scalar field and a vector field: V x (fF) = ƒV × F + Vf × F. (iii) Vector product of two vector fields: V × (F × G) = (V · G)F – (V·F)G+(G · V)F – (F · V)G
2. Verify the following properties of the curl. (i) Sum of two vector fields: V × (F+ G) = V × F+ V × G. (ii) Product of a scalar field and a vector field: V x (fF) = ƒV × F + Vf × F. (iii) Vector product of two vector fields: V × (F × G) = (V · G)F – (V·F)G+(G · V)F – (F · V)G
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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