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Curl and the Cross Product
Regarding the equation for curl:
Nable E literally means the sum of the differences of certain rates of change with respect to certain coordinates i hat, j hat, k hat.
Since Nabla Cross E also is interpreted as the volume of a paralleliped in 3D space....
1. when the volume is zero, does this mean there is zero curl?
2. when the volume is >0 to infinity, does that mean the rotation is happening faster or just dispersing faster thru the field or liquid or what have you?
Thanks,
Also, anyone know any good vector calculus jokes?
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