MATH U101 · Narrated walkthrough · Module 5 §14.6

Tangent planes, normal lines, and curves of intersection

A narrated lesson that builds the idea from scratch, then solves Tutorial 7 Q1–Q3. Press play, keep the sound on, and answer the four questions it stops to ask you.

How to use this

About seven minutes, watch once. The narration stops four times to ask what the next move is. Commit to an answer before it continues: those pauses are the point, because they practise starting a question, not following one. Captions are on by default; the full transcript is below the player.

The questionsScene 1 of 10
Press ▶ Play to start. Sound on.
After watching

Redo Q1–Q3 on paper, then check against the tutorial companion, where all three are written out step by step. The rules themselves (and a fourth worked example, a sphere meeting a plane) are in Module 5 notes §6. For the slower first-time version, see the Module 5 lesson.

Full transcript