Class 12 Chapter 10 Vector Algebra Previous Year Questions
Practice Vector Algebra through topic-wise previous year questions (2008-2026). Master dot products, cross products, and scalar triple products.
Use the topic links to revise vector magnitude and unit vectors before applying dot and cross products to angles, projections, areas, and geometric relationships. The scalar triple product section adds volume and coplanarity practice, with worked reasoning suited to Class 12 board questions.
Topic-wise PYQ Practice
- 1. Vector Basics (Magnitude & Unit Vectors)
- 2. Dot Product (Scalar Product)
- 3. Cross Product (Vector Product)
- 4. Scalar Triple Product
Step-wise marking is strictly enforced across all 2-mark, 3-mark, and 5-mark subjective questions. Always quote standard algebraic identities or theorem statements before carrying out algebraic substitutions. For matrix operations and vector cross-products, clearly tabulate intermediate matrix rows and components to guarantee full partial credit even if a minor arithmetic slip occurs in the final step.
CBSE Class 12 Chapter 10: Vector Algebra Blueprint & Exam Strategy
Marks Weightage: Unit IV: Vectors and Three-Dimensional Geometry (14 Marks combined). Question blueprint: Typically includes 1-2 MCQs (1 Mark each) on dot product, unit vectors, or direction cosines, and one 2-Mark or 3-Mark problem on cross products, vector projection, or finding vectors perpendicular to given vectors.
Examiner Advice: Projection of vector a on vector b is (a . b) / |b|. Two non-zero vectors are perpendicular if a . b = 0, and parallel/collinear if a x b = 0 (or a = lambda * b). Area of a triangle formed by vectors a and b is (1/2)|a x b|, while area of a parallelogram with diagonals d1 and d2 is (1/2)|d1 x d2|.