Unit IV: Vectors & 3D Geometry →

Direction aur magnitude — vectors se 3D world ko samjho. 14 marks board mein.

Chapters

→

Ch 10: Vectors

Scalars vs vectors, position vector, direction cosines, dot product, cross product, scalar triple product.

Read Chapter
📡

Ch 11: 3D Geometry

Direction cosines of a line, equations of lines in 3D, angle between lines, skew lines, shortest distance, planes.

Read Chapter
🧪

Interactive Lab

3D vector visualizer, dot/cross product calculator, MCQ missions.

Open Lab

📌 Board Tip

Dot product aur cross product ke formulas yaad rakho. Vector form of line aur Cartesian form mein convert karna practice karo. Shortest distance between skew lines formula — yeh almost every board exam mein aata hai!