Ludium - Learn by Doing

Calculus 3

01Vectors: Magnitude and Direction 02Scalar Multiples and Parallel Vectors 03Vector Addition and Subtraction 04Points vs. Vectors: Notation and Meaning 05Vector Equality: Slope and Magnitude 06Vector Operations by Components Problem set0/10 Problem set 20/10 Practice∞

01Unit Vectors 02Standard Basis Vectors i and j 03Parallel Vectors: Scalar Multiples vs Slopes 04Scaling Vectors with Unit Vectors 05Unit Vectors from an Angle: cos θ and sin θ 06Vectors as Magnitude and Direction Problem set0/10 Problem set 20/10 Practice∞

01The Three-Dimensional Coordinate System 023D Distance, Midpoints, and Triangle Classification 03Equations of a Sphere 043D Position Vectors: Notation and Magnitude 05Parallel Vectors and Vector Operations in 3D 06Unit Vectors and Magnitude Scaling Problem set0/10 Problem set 20/10 Practice∞

01The Dot Product 02Dot Product Properties and v · v = |v|² 03The Cosine Formula for the Dot Product 04Angles Between Vectors and Orthogonality 05Parallel and Orthogonal Vectors Problem set0/10 Problem set 20/10 Practice∞