Drag rhythmic values into up to 8 beat blocks per line to build a drum groove, or click a tile then click a block to place it — handy on a trackpad.

🎵 Calculus III Lesson 4: Parametric Equation of a 3D Line — Evaluate a Coordinate of r(t) = r₀ + tv mess around all you want, nothing here saves
158 BPM
Loading drum sounds…
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
4/4 ×2
🎯 Lesson: 0/4 · 🥁 0 solved · 0 badges

Calculus III, Lesson 4: Parametric Equation of a 3D Line

Math skill: Evaluate a Coordinate of r(t) = r₀ + tv

How the beat teaches it: Every slot gives a starting point r₀, a direction vector v, and a value of t — plug t into the parametric line r(t) = r₀ + tv and find the requested coordinate. Build that many notes anywhere in the kit.

This is lesson 4 of 24 in RockBlocks Math, Calculus III, a free course where every lesson turns a math idea into something you can count, hear, and play. The previous lesson, Magnitude of a Cross Product,” covered find |u × v| for Axis-Aligned Vectors. Next is Lesson 5, Equation of a Plane.”

Every slot above (A, B, C, D) is its own question, and it’s a real, blank RockBlocks beat the whole time — the same drag-and-drop tiles, kit, tempo, sheet music, and drummer view as anywhere else on the site. Tap ❓ Questionin the corner to read the current slot’s problem, build your answer right in the grid, then tap ✓ Check Answerto grade it. Once you’re done, keep going: expand the beat, drop it into a Stack, or save a copy to your own page — nothing here overwrites the lesson itself, so every visitor still starts from the same blank slots.