Stage 01 · Math for Robotics · Lesson 5 · 35–45 min
3D Vectors
Walking across a room is 2D. Climbing stairs adds height. A warehouse robot that only plans (x,y) will smash into a shelf that hangs down. Robot arms live in 3D: every tip pose has three position numbers, and orientations need even more care.
Simplification: we do not cover Plücker screws or spatial algebra yet.