∇λ∫∑
LabsOpen mathematics · A plane with a product
Multiply as rotate
z ↦ az is a rotate-and-scale. One picture for a whole first course.
Ask about this picture- a
- 0.60 + 0.80i
- |a|
- 1.00
- |z|
- 1.17
- |az| = |a||z|
- 1.17
- arg a
- 53°
- arg z
- 20°
- arg az (= arg z + arg a, mod 360°)
- 73°
a sits on the dashed unit circle: |az| = |z|. Pure rotation by arg a, no stretch.
Ask the studio
Multiply as rotate
This chat can see the instrument. Questions here are about this picture.
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