vector_component_xy

compas.geometry.vector_component_xy(u, v)[source]

Compute the component of u in the direction of v, assuming they lie in the XY-plane.

Parameters

  • u (sequence of float) – XYZ components of the vector.

  • v (sequence of float) – XYZ components of the direction.

Returns

proj_v(u) (list) – The component of u in the direction of v.

Notes

This is similar to computing direction cosines, or to the projection of a vector onto another vector. See the respective Wikipedia pages (1, 2) for more info.

References

1

Direction cosine. Available at https://en.wikipedia.org/wiki/Direction_cosine.

2

Vector projection. Available at https://en.wikipedia.org/wiki/Vector_projection.

Examples

>>> vector_component_xy([1, 2, 0], [1, 0, 0])
[1.0, 0.0, 0.0]