Span Visualizer
Set/drag two vectors
u
and
v
. Use sliders for scalars
a
,
b
. We draw
a·u + b·v
.
a (scalar for u):
b (scalar for v):
Set the two basis vectors
u
= (
,
)
v
= (
,
)
Show u and v as (x-part)î + (y-part)ĵ
Show standard basis î=(1,0), ĵ=(0,1)
Status:
Reset u,v
Random u,v
How to read span (in 2D):
If u and v are
dependent
→ span is a
line
.
If u and v are
independent
→ span is
all of R²
.