How to prepare for Vectors and 3D Geometry for CUET-UG ?
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General Learning Resources
Expected Weightage
The Common University Entrance Test (CUET) for Mathematics includes Vectors and 3D Geometry as key topics. Below is a detailed analysis of the marking pattern and chapter-wise weightage for these topics based on the last three years’ trends (2022-2024).
1. Overall Weightage in CUET Mathematics
- Total Marks in Mathematics Section: 50 (25 Questions × 2 Marks Each)
- Vectors 3D Geometry Combined Weightage: ~12-16 Marks (24-32%)
- Vectors: ~6-8 Marks
- 3D Geometry: ~6-8 Marks
2. Year-wise Breakdown (2022-2024)
2024 (Expected Trend)
- Vectors: 6-8 Marks
- Dot Cross Product (2-3 Qs)
- Scalar Triple Product (1 Q)
- Vector Equations of Lines/Planes (1-2 Qs)
- 3D Geometry: 6-8 Marks
- Direction Cosines/Ratios (1 Q)
- Line Plane in 3D (2-3 Qs)
- Distance Angle Between Lines/Planes (1-2 Qs)
2023 (Observed Pattern)
- Vectors: 7 Marks
- Projection of Vectors (1 Q)
- Cross Product Area (2 Qs)
- Vector Addition/Subtraction (1 Q)
- 3D Geometry: 7 Marks
- Equation of Plane (2 Qs)
- Foot of Perpendicular (1 Q)
- Angle Between Two Lines (1 Q)
2022 (First CUET Edition)
- Vectors: 6 Marks
- Unit Vector (1 Q)
- Scalar Triple Product (1 Q)
- Vector Algebra (2 Qs)
- 3D Geometry: 6 Marks
- Distance Formula (1 Q)
- Equation of Line (2 Qs)
- Intersection of Lines (1 Q)
3. Important Topics Their Marks Distribution
| Topic | Sub-Topics | Expected Marks (per year) |
|---|---|---|
| Vectors | Dot Cross Product | 3-4 Marks |
| Scalar Triple Product | 1-2 Marks | |
| Vector Equations of Lines/Planes | 2 Marks | |
| 3D Geometry | Direction Cosines/Ratios | 1-2 Marks |
| Line Plane in 3D | 3-4 Marks | |
| Distance Angle Formulas | 2 Marks |
4. Key Observations
- Balanced Weightage: Both chapters contribute almost equally (6-8 marks each).
- Application-Based Questions: More emphasis on cross-product, plane equations, and distance problems.
- Formula-Centric: Direct formula-based questions (e.g., projection, scalar triple product) are frequent.
- NCERT Focus: ~70% of questions are from NCERT Examples Exercises.
5. Preparation Strategy
✔ Focus Areas: - Vectors: Cross/Dot Product, Vector Projection, Triple Product. - 3D Geometry: Plane Line Equations, Shortest Distance. ✔ Practice: Previous year JEE Main/Class 12 NCERT problems (similar difficulty). ✔ Mock Tests: Solve CUET-specific sample papers for time management.
For detailed PYQ analysis , refer to official NTA CUET papers (2022-2023).
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