What would you like to understand?

In 3D space, the span of two non-parallel vectors is a tilted, infinitely extending flat sheet cutting through the origin. While their individual spans form lines, combining them via linear combinations ($a\vec{v} + b\vec{w}$) traces out this exact 2D plane.

Conditions: The vectors are in three-dimensional space.; The two vectors are non-parallel.

In 3D space, the span of two non-parallel vectors is a tilted, infinitely extending flat sheet cutting through the origin. While their individual spans form lines, combining them via linear combinations ($a\vec{v} + b\vec{w}$) traces out this exact 2D plane.

Conditions: The vectors are in three-dimensional space.; The two vectors are non-parallel.