What is curl of the vector field 2x²y i + 5z² j − 4yzk ?

6z i + 4x j − 2x² k
6z i − 8xy j + 2x² y k
−14z i + 6y j + 2x² k
−14z i − 2x² k

Correct answer: −14z i − 2x² k

Solution

The curl of a vector field measures the rotation at a point in the field. In this case, calculating the curl of the given vector field results in the components that match the correct option, indicating that the field has a specific rotational behavior characterized by the terms involving z and x.

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