Interactive Linear Algebra
A guided, interactive journey to build a deep, visual understanding of linear algebra, inspired by the work of 3Blue1Brown.
Vector Basics: Intuitive Understanding
Learn to think of vectors as arrows in space and understand their fundamental properties.
The Big Idea
A vector isn't just an arrow—it's a mathematical object that has both magnitude and direction. Think of a vector like giving directions to a friend: "Walk 3 blocks east, then 4 blocks north." This instruction contains both how far (magnitude) and which way (direction).
- Vectors represent both magnitude and direction
- The length of a vector (magnitude) is calculated using the Pythagorean theorem
- Vectors help us model forces, velocities, and positions in space