# scalar curl

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## English

### Etymology

From scalar + curl.

### Noun

scalar curl (plural scalar curls)

1. (mathematics) The coefficient of k in the three-dimensional curl of a two-dimensional vector field.
Since the curl of the vector field $\vec{F}=(xy,xy,0)$ is the vector field $\vec{\nabla}\times\vec{F}=(0,0,y-x)$, the scalar curl of the vector field $\vec{G}=(xy,xy)$ is the scalar field $y-x\;$.