A third vector lying perfectly flat on the plane created by the first two provides no new directional freedom. Mathematically, it is redundant because it can be written as a linear combination of the other two vectors.
Conditions: Three vectors exist in 3D space; The first two vectors are linearly independent (non-parallel); The third vector lies within the plane spanned by the first two
A third vector lying perfectly flat on the plane created by the first two provides no new directional freedom. Mathematically, it is redundant because it can be written as a linear combination of the other two vectors.
Conditions: Three vectors exist in 3D space; The first two vectors are linearly independent (non-parallel); The third vector lies within the plane spanned by the first two