Line representation

A line is represented by a vector u and a moment; the latter is a bivector p^u spanned by u and any position vector p of a point on the line.

Please enable Java for an interactive construction (with Cinderella).

You can drag the endpoints of any of the vectors. Dragging u and p changes the definition of the line, dragging x should convince you that any point on the line indeed spans the same bivector with u.

Created with Cinderella by Leo Dorst 20010712