Lesson 2.2 · 7 of 25 lessons
Vector addition
Grow from linear combinations to independence, bases, the fundamental subspaces, and transformations.
Open the interactive animation01 · Story
What to verify in this scene
Follow the explanations and operations, then identify the mathematical evidence that remains in the final scene.
- 01
Compare u and v from the same origin
- 02
Adding vectors adds their components to create a new vector
- 03
s is the sum vector u + v = (3, 3)
02 · Notebook
The runnable notebook
This source creates the mathematical objects and controls the order of operations and animation. Read it here, then play the same scene yourself.
2d
zoom 9/10
coordinates on
1, 2 #u@
2, 1 #v@
// Compare {{u}} and {{v}} from the same origin
focus u v
checkpoint Vector addition
focus -
// Adding vectors adds their components to create a new vector
sum(u, v) #s@
// {{s}} is the **sum vector** `{{u}} + {{v}} = (3, 3)`03 · Unit 2
Lessons in this unit
Vector spaces & transformations — Grow from linear combinations to independence, bases, the fundamental subspaces, and transformations.