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 (ƒF) = ƒV × F+ Vƒ × F. (iii) Vector...

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2. Verify the following properties of the curl.<br>(i) Sum of two vector fields:<br>V × (F+ G) = V × F + V × G.<br>(ii) Product of a scalar field and a vector field:<br>V x (ƒF) = ƒV × F+ Vƒ × F.<br>(iii) Vector product of two vector fields:<br>V x (F x G) = (V · G)F – (V · F)G+ (G V)F – (F · V)G<br>%3D<br>

Extracted text: 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 (ƒF) = ƒV × F+ Vƒ × F. (iii) Vector product of two vector fields: V x (F x G) = (V · G)F – (V · F)G+ (G V)F – (F · V)G %3D

Jun 04, 2022

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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 (ƒF) = ƒV × F+ Vƒ × F. (iii) Vector...

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