skspatial.objects.Triangle.normal

Triangle.normal() → Vector

Return a vector normal to the triangle.

The normal vector is calculated as

\[v_{AB} \times v_{AC}\]

where \(v_{AB}\) is the vector from vertex A to vertex B.

Returns:

Vector

Normal vector.

Examples

>>> from skspatial.objects import Triangle

>>> Triangle([0, 0], [1, 0], [0, 1]).normal()
Vector([0, 0, 1])

The normal vector is not necessarily a unit vector.

>>> Triangle([0, 0], [2, 0], [0, 2]).normal()
Vector([0, 0, 4])

The direction of the normal vector is dependent on the order of the vertices.

>>> Triangle([0, 0], [0, 1], [1, 0]).normal()
Vector([ 0,  0, -1])