Find the line where two planes meet, including a point on the line and a direction vector.
Last updated: June 2026 | By Patchworkr Team
When two planes are not parallel, they meet along a line. That line has a direction vector given by the cross product of the plane normals, and one point on the line can be found by solving the plane equations.
The example planes produce a line with a specific point and direction vector, shown in the result panel.
What if the planes are parallel?
Parallel planes never meet, so the calculator returns an error instead of a line.
What if the planes are identical?
Identical planes overlap everywhere, so there is no unique line of intersection to report.
Does the tool accept decimals?
Yes. Any finite real coefficient is accepted, including decimal and scientific notation values.
Why do I need the right-hand side D?
The constant term is required to fully describe each plane in standard form.
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