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Mathematics · University

A component of curl · formula reference

The order of subtraction sets the orientation.

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Formula

The order of subtraction sets the orientation.

(curl F)z = ∂Fᵧ/∂x − ∂Fₓ/∂y

Worked example

For F = (7y², 7x², 0), calculate the z-component of curl F at (-1,0,0). Round the final result to 4 decimal places if needed.

Compute ∂Fᵧ/∂x = 14x and ∂Fₓ/∂y = 14y, then subtract.

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Prerequisites and checking

Algebra; calculus or linear algebra as appropriate to the topic. Keep units and rounding consistent. State the model conditions before applying the formula.

Further reading and review references

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