Let f be a scalar field (a function) and Fa vector field. For each expression, decide first if it's meaningful, and if so, whether the result is a scalar field or vector field. ] div( V ƒ ) Vƒ x div F V div( F ) | div( curl( Vf ) ) v curl(curl F)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let f be a scalar field (a function) and F a vector field.
For each expression, decide first if it's meaningful, and if so, whether the result is a scalar field or vector
field.
| div( Vf )
Vƒ x div F
v V div( F )
| div( curl( Vf ))
v curl(curl F)
Transcribed Image Text:Let f be a scalar field (a function) and F a vector field. For each expression, decide first if it's meaningful, and if so, whether the result is a scalar field or vector field. | div( Vf ) Vƒ x div F v V div( F ) | div( curl( Vf )) v curl(curl F)
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