One arrow from the origin to (3, 2), with thin dashed lines showing its components against each axis. The loop walks the tip once around a small circle, so the magnitude and the angle shift while the components track along. The readout layer carries both, which makes it the asset to reach for when a lesson needs a vector that visibly changes.
manim/plane_vector.py
"""Vector in the plane: an arrow from the origin, its tip orbiting a small circle.
Render (the driver does this for every palette; these are for eyeballing):
P=/opt/homebrew/opt/python@3.11/bin/python3.11
ASSET_MODE=still $P -m manim -s -t -r 1600,1600 manim/plane_vector.py PlaneVector
ASSET_MODE=motion $P -m manim -qh -r 1600,1600 manim/plane_vector.py PlaneVectorLoop
"""
import numpy as np
from manim import (
DOWN,
LEFT,
RIGHT,
TAU,
UP,
Arrow,
The full Manim source and the rendered video come with a plan.