Curl Calculator

What is Curl?

Curl measures the rotation of a vector field about a point. A field with zero curl everywhere is irrotational, which is what lets it be written as the gradient of a potential.

How it works

The six partial derivatives the determinant formula needs are computed symbolically and combined: (∂R/∂y − ∂Q/∂z, ∂P/∂z − ∂R/∂x, ∂Q/∂x − ∂P/∂y). A field like ⟨−y, x, 0⟩ returns a constant curl of 2 in the z direction, which is the field circling the origin.

1. Enter your input. Type or paste your input into the field above — the tool responds instantly.
2. Review the result. Output updates live as you type. Everything runs entirely in your browser.
3. Copy or download. Use the Copy button to grab the result, or Download to save it as a file.

Examples

Realistic sample

Type or paste any realistic input — the tool computes the result locally and instantly.

Common mistakes

Expecting a server round-trip

Nothing is uploaded — every tool in this category runs entirely in your browser.