Practice question · Fill in the blanks
Complete the statement with the correct term.
A vector field F is conservative if and only if its curl equals ______.
Word bank: divergence · gradient · homogeneous · zero
Hints
- The condition concerns the field's rotation being absent.
- On a simply connected domain that condition is both necessary and sufficient.
Show the answer
A vector field F is conservative if and only if its curl equals zero.
Why
= 0 is the necessary and sufficient condition (on simply connected domains).
Practise Line Integrals
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