Chapter 10 • Class 12 Mathematics
Vector Algebra
Class 12 Vector Algebra — types of vectors, addition, dot product, cross product, section formula and geometrical applications. Solved examples and MCQ tests for CBSE and ISC.
Study by topic — one focused page each
1
Vectors: Types & Basic Operations
A vector has both magnitude and direction (e.g. displacement, force), unlike a scalar which has magnitude only. In space a vector is written . Magnitu…
Start this topic → 2Scalar (Dot) Product
The dot product of two vectors produces a scalar : where is the angle between them. Key consequences Angle: . Perpendicularity: . . Projection of on :…
Start this topic → 3Vector (Cross) Product
The cross product of two vectors produces a vector perpendicular to both: where is the unit vector perpendicular to the plane of (right-hand rule). Ke…
Start this topic →Chapter-wide tests
Online Test
10 MCQ • 20 min
IMO / Olympiad Practice
Olympiad level • 20 min
📝 Full Chapter Test (Download & Print)
35 marks • 75 min • with answer key