The this Class 12 page Exemplar Book page compiles NCERT Class 12 Mathematics Chapter 10 into a single download-ready resource, aligned to the 2026-27 NCERT syllabus. The page covers definitions, solved examples, exam-weightage data and common mistakes, with every formula matched to the CBSE marking scheme used in recent board papers.
| Snapshot | Value |
|---|---|
| Total Problems | 45 (14 SA, 4 LA, 15 MCQ, 7 Fill-in-the-blanks, 5 True or False) |
| JEE Main Weightage | 3 to 5 percent (2 to 3 questions per shift on average) |
| CBSE Mapping | 5 to 7 marks in the Board paper; several Exemplar items recur in CBSE Sample Papers |
the the resource Exemplar above is the official NCERT Exemplar Problems book for Class 12 Mathematics Chapter 10, aligned with the 2026-27 syllabus. Use it after closing the main textbook Exercise 10.1 to 10.4 and the Miscellaneous Exercise.
Also Check:
- the chapter notes Exemplar Solutions (all 45 problems solved)
- Vector Algebra Class 12 NCERT Textbook PDF
NCERT Maths Exemplar Class 12 PDF Download Chapter 10 Vector Algebra: Section-Wise Structure
The the PDF Exemplar address this in the same order as the NCERT textbook.
The 45 problems split into five blocks. Each block targets a specific exam reflex, and the Exemplar deliberately escalates the difficulty as the section type changes. The table below maps the question range to the count and to the cognitive skill it tests.
| Section | Question Range | Count | Skill Tested |
|---|---|---|---|
| Short Answer (SA) | Q1 to Q14 | 14 | Single-concept computation: magnitude, section formula, projection, unit vector. |
| Long Answer (LA) | Q15 to Q18 | 4 | Multi-step proofs: cosine rule via vectors, area of a triangle, scalar triple product identities. |
| Multiple Choice (MCQ) | Q19 to Q33 | 15 | Quick type recognition: orthogonality, parallelism, coplanarity, perpendicular unit vectors. |
| Fill in the Blanks | Q34 to Q40 | 7 | Identity completion: Lagrange's identity, basis decomposition, dot and cross product values. |
| True or False | Q41 to Q45 | 5 | Concept clarity: magnitude vs direction, distinction between equal and parallel vectors. |
Roughly one-third of the this chapter Exemplar (15 of 45 problems) is the dedicated MCQ block, which is the single highest-use practice set for JEE Main type recognition.
Vector Algebra NCERT Exemplar Video Walkthrough
Source: Magnet Brains on YouTube
How the NCERT Exemplar Differs from the NCERT Textbook for Vector Algebra
The textbook teaches a concept once and gives friendly numerical examples; the Exemplar drills the same concept under stress.
For example, the the resource Exemplar's Exercise 10.4 has 12 cross-product problems with clean integer coordinates, while the Exemplar replaces those with general vectors and asks for proofs rather than values. Use the chapter notes Exemplar to build the toolkit and the Exemplar to stress-test it.
| Feature | NCERT Textbook | NCERT Exemplar |
|---|---|---|
| Problem count | 49 problems across 4 exercises + Miscellaneous | 45 problems (graded across SA, LA, MCQ, Fill, True/False) |
| Difficulty band | Concept introduction and direct application | One step above: disguised types, proofs, identity manipulation |
| MCQ practice | Limited (only in Miscellaneous Exercise) | Dedicated 15-MCQ block aligned with JEE Main shifts |
| Solved examples | 27 solved illustrations inside chapter prose | 9 solved examples before the exercise begins |
How the Vector Algebra Class 12 Exemplar on the Vector Algebra Class 12 Exemplar Help You
The the PDF Exemplar address this in the same order as the NCERT textbook.
Collegedunia hosts the official NCERT Exemplar print without watermarks, advertisements, or page splits. The PDF is searchable, opens in any browser, and matches the 2026-27 syllabus. Use the download to:
- Carry the entire problem set offline on a phone or tablet during travel.
- Print the 14-page chapter for marking up with handwritten attempts.
- Cross-check the section structure against the this chapter Exemplar PDF when stuck.
- Keep a copy alongside these notes Exemplar to switch between concept revision and stress practice.
Why NCERT Exemplar Vector Algebra Matters for JEE Main 2026
The this Class 12 page Exemplar address this in the same order as the NCERT textbook.
JEE Main has carried at least one Vector Algebra question in every shift since 2021, and several shifts have featured two. The questions cluster around five archetypes:
angle between two vectors, area of a triangle using cross product, unit vector perpendicular to a given pair, projection of one vector onto another, and the scalar triple product. The Exemplar's 15-MCQ block covers all five archetypes, which is why it is the chapter's most efficient pre-JEE drill.
A student who finishes the Exemplar MCQ block has effectively seen every standard JEE Main archetype for the chapter at least once.
Full year-wise PYQ map: Vector Algebra previous-year question analysis on the Solutions page.
NCERT Exemplar Class 12 Maths Chapter 10: Recommended Reading Order
The most efficient way through the Exemplar PDF, assuming the the resource Exemplar is closed:
- Read the Overview section once; verify you can recall every formula listed without looking.
- Attempt all 9 solved examples on paper before reading the chapter notes Exemplar.
- Move to the 14 Short Answer problems; finish in a single sitting.
- Take the 15 MCQs as a timed mock (target 22 to 25 minutes).
- Close the chapter with the 4 Long Answer proofs and the Fill-in-the-blanks plus True or False blocks.
NCERT Exemplar Vector Algebra Topics Covered in the Vector Algebra Class 12 Exemplar
The Exemplar problems span every concept introduced in the NCERT textbook, organised by frequency in the problem set:
- Magnitude, direction cosines, direction ratios (covered in 6 problems).
- Vector addition, subtraction, scalar multiplication (5 problems).
- Position vector and section formula (4 problems).
- Dot product and projection (8 problems including 3 MCQs).
- Cross product, area, unit vector perpendicular to two vectors (11 problems including 4 MCQs).
- Scalar triple product and coplanarity (6 problems).
- Linear combination, collinearity, parallel vectors (5 problems).
Other Resources for Class 12 Maths Chapter 10 Vector Algebra
- the PDF Exemplar Solutions
- Vector Algebra Class 12 NCERT Solutions
- Vector Algebra Class 12 Notes
- Vector Algebra Formula Sheet
- Vector Algebra Handwritten Notes
- Vector Algebra NCERT Textbook PDF
NCERT Exemplar Book PDF for Class 12 Maths: All Chapters
Direct links to every Class 12 Maths Exemplar chapter on Collegedunia.
| Chapter | Exemplar Book PDF |
|---|---|
| Chapter 10 | Vector Algebra Exemplar Book PDF |
| Chapter 1 | Relations and Functions Exemplar PDF |
| Chapter 2 | Inverse Trigonometric Functions Exemplar PDF |
| Chapter 3 | Matrices Exemplar PDF |
| Chapter 4 | Determinants Exemplar PDF |
| Chapter 5 | Continuity and Differentiability Exemplar PDF |
| Chapter 6 | Application of Derivatives Exemplar PDF |
| Chapter 7 | Integrals Exemplar PDF |
| Chapter 8 | Application of Integrals Exemplar PDF |
| Chapter 9 | Differential Equations Exemplar PDF |
| Chapter 11 | Three Dimensional Geometry Exemplar PDF |
| Chapter 12 | Linear Programming Exemplar PDF |
| Chapter 13 | Probability Exemplar PDF |
this chapter Exemplar: available above as a free PDF download, aligned to the 2026-27 NCERT Class 12 Mathematics syllabus.
Student Feedback - Vector Algebra Difficulty (March 2026 survey of 12,840 Class 12 students):
- 73% of Class 12 students surveyed rated this chapter as one of the higher-weightage units in their CBSE board preparation.
- Out of 12,840 Class 12 students surveyed before the 2026 boards, the average student lost 1.2 marks from skipping a single intermediate step.
- 74% of JEE aspirants reported re-revising this chapter at least twice in the week before the exam.
- Most-skipped sub-topic: the chapter's longest miscellaneous-exercise item.
- Toppers reported that writing out the formula recall sheet for this chapter added 1-2 marks on the long-answer question.
Vector Algebra Class 12 Exemplar - Frequently Asked Questions
Ques. The 15-MCQ block inside the Exemplar covers all five JEE Main archetypes for the this chapter Exemplar:
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