Table of Contents

Subject specialists have created NCERT Exemplar Solutions for Class 12 Maths Chapter 10 Vector Algebra, which includes thorough solutions for reference. All of the questions from the textbook’s exercises are answered here. Students can use these answers to help them prepare for their exams. The NCERT Exemplar Solutions for Class 12 provide useful solutions for improving conceptual knowledge and preparing for exams like **IIT JEE**.

The solutions are carefully solved using student-friendly terms while still adhering to the norms that must be followed when solving NCERT Exemplar Solutions for Class 12. Practicing these answers can be incredibly advantageous not only in terms of exams but also in terms of helping Class 12 pupils perform well in upcoming competitive exams.

The approaches for answering have been given special consideration to stay on target while not deviating from the intended answer. Because time is so important in exams, excellent time management when answering questions is essential for getting the best results.

The topics and subtopics covered in Chapter 10- Vector Algebra of **NCERT Exemplar Solutions for Class 12** are as follows:

10.1 Introduction

10.2 Basic Concepts

- Position Vector
- Direction Cosines

10.3 Types of Vectors

- Zero Vector
- Unit Vector
- Coinitial Vectors
- Collinear Vectors
- Equal Vectors
- Negative of a Vector

10.4 Addition of Vectors

- Properties of vector addition

10.5 Multiplication of a Vector by a Scalar

- 10.5.1 Components of a vector
- 10.5.2 Vector joining two points
- 10.5.3 Section formula

10.6 Product of Two Vectors

- 10.6.1 Scalar (or dot) product of two vectors
- 10.6.2 Projection of a vector on a line
- 10.6.3 Vector (or cross) product of two vectors

**Exercise-wise number of questions in NCERT Exemplar Solutions for Class 12 Maths Chapter 10 are:**

- Exercise 10.1 Solutions 5 Questions
- Exercise 10.2 Solutions 19 Questions
- Exercise 10.3 Solutions 18 Questions
- Exercise 10.4 Solutions 12 Questions
- Miscellaneous Exercise On Chapter 10 Solutions 19 Questions

**NCERT Exemplar Solutions for Class 12 Maths Chapter 10- Vector Algebra**

The unit Vectors and Three-Dimensional Geometry includes the chapter Vector Algebra, which accounts for 14 of the total marks. This chapter includes four exercises as well as a miscellaneous activity to assist students to grasp the principles of vectors and vector algebra. The following are some of the topics covered in the tenth chapter of NCERT Exemplar Solutions for Class 12 Maths:

- The direction ratios of a vector’s scalar components describe its projections along the corresponding axes.
- Any vector’s magnitude (r), direction ratios (a, b, c), and direction cosines (l, m, n) are related as l=(a/r), m=(b/r), and n=(c/r), respectively.
- The vector sum of a triangle’s three sides, taken in order, is 0.
- The diagonal of the parallelogram whose adjacent sides are the provided vectors gives the vector sum of two beginning vectors.
- When a given vector is multiplied by a scalar |λ, the magnitude of the vector is changed by the multiple |λ, but the direction remains the same (or is reversed) as long as the value of |λ is positive (or negative).

Going through Chapter 10 of the NCERT textbook for Class 12 will help you understand the various concepts and subjects covered in the NCERT Exemplar Solutions for this chapter.

**Key Features of NCERT Exemplar Solutions for Class 12 Maths Chapter 10- Vector Algebra**

Students who study Class 12 Vector Algebra utilizing the NCERT Exemplar Solutions will be able to understand the following: The magnitude and direction of a vector, as well as vectors and scalars. A vector’s direction cosines and direction ratios. Vector types (equal, unit, zero, parallel, and collinear vectors), position vector of a point, negative of a vector, components of a vector, vector addition, vector multiplication by a scalar, and the position vector of a point splitting a line segment in a certain ratio Scalar (dot) product of vectors, vector (cross) product of vectors, and scalar triple product of vectors: definition, geometrical interpretation, properties, and applications. NCERT Exemplar Solutions can be used as a quick reference to help students understand complicated concepts.

### FAQ

##### Where can I get exercise-wise answers of NCERT Exemplar Solutions for Class 12 Maths Chapter 10

Students in Class 12 should select appropriate study materials to assist them in effectively solving textbook issues. Choosing the proper reference guide from the many available on the market takes time and patience. INFINITY LEARN provides PDF solutions to both chapter-specific and exercise-specific problems. Students can consult it while working on problems to get immediate answers to their questions

##### Why Opt for Infinity Learn

In this chapter Infinity Learn provides videos, notes, NCERT textbook solutions, other practice book solutions and assignments that help you learn the concepts and to memorise the concepts for entrance exams and board exams. Most important, Infinity learn provide instant doubt support by subject experts

##### How many questions are present in each exercise of NCERT Exemplar Solutions for Class 12 Maths Chapter 10

The number of questions in each exercise of NCERT Exemplar Solutions for Class 12 Maths Chapter 10 are listed below: Exercise 10.1 – 5 Questions Exercise 10.2 – 19 Questions Exercise 10.3 – 18 Questions Exercise 10.4 – 12 Questions Miscellaneous Exercise – 19 Questions

##### What are the major concepts discussed in NCERT Exemplar Solutions for Class 12 Maths Chapter 10

The concepts covered in NCERT Exemplar Solutions Chapter 10 are as follows: 10.1 – Introduction 10.2 – Basic Concepts 10.3 – Types of Vectors 10.4 – Addition of Vectors 10.5 – Multiplication of a vector by a scalar

### Infinity Learn App

Now you can find answers to all your subject queries & prepare for your Exams on our** Learning App **– Infinity Learn.