Eulerly · Lesson 2.2 · Try it yourself

Norm explorer

Drag the amber point v. Three ways to measure its size: the drone flies straight, the rider follows the streets, the crane moves both ways at once.

Shapes:
v = (3, 4)
L2 · Euclidean
the drone: straight line, Pythagoras
L1 · Manhattan, taxicab
the rider: add the sizes of the slots
L∞ · Chebyshev, max
the crane (or a chess king): the largest slot
Unit vector v̂ = v / ‖v‖₂
same direction, length exactly 1 (the small amber arrow)

Challenges

Pick a challenge, then drag v.