# NCERT Solutions Class 12 Mathematics Chapter 10 Vector Algebra

## Chapter 10 Vector Algebra Class 12 Mathematics NCERT Solutions

Class 12 Mathematics students should refer to the following NCERT questions with answers for Chapter 10 Vector Algebra in Class 12. These NCERT Solutions with answers for Class 12 Mathematics will come in exams and help you to score good marks

### Chapter 10 Vector Algebra NCERT Solutions Class 12 Mathematics

Exercise 10.1

1. Represent graphically a displacement of 40 km, 30° east of north.
Solution

Here, vector OP represents the displacement of 40 km, 30° East of North.

2. Classify the following measures as scalars and vectors.
(i) 10 kg
(ii) 2 metres north-west
(iii) 40°
(iv) 40 watt
(v) 10–19 coulomb
(vi) 20 m/s2
Solution

(i) 10 kg is a scalar quantity because it involves only magnitude.
(ii) 2 meters north-west is a vector quantity as it involves both magnitude and direction.
(iii) 40° is a scalar quantity as it involves only magnitude.
(iv) 40 watts is a scalar quantity as it involves only magnitude.
(v) 10–19 coulomb is a scalar quantity as it involves only magnitude.
(vi) 20 m/s2 is a vector quantity as it involves magnitude as well as direction.

3. Classify the following as scalar and vector quantities.
(i) time period
(ii) distance
(iii) force
(iv) velocity
(v) work done
Solution

(i) Time period is a scalar quantity as it involves only magnitude.
(ii) Distance is a scalar quantity as it involves only magnitude.
(iii) Force is a vector quantity as it involves both magnitude and direction.
(iv) Velocity is a vector quantity as it involves both magnitude as well as direction.
(v) Work done is a scalar quantity as it involves only magnitude.

4. In Figure, identify the following vectors.

(i) Coinitial
(ii) Equal
(iii) Collinear but not equal
Solution

(i) Vectors a and  d are coinitial because they have the same initial point.
(ii) Vectors b and d are equal because they have the same magnitude and direction.
(iii) Vectors a and c are collinear but not equal. This is because although they are parallel, their directions are not the same.

5. Answer the following as true or false.
(i) a and -a are collinear.
(ii) Two collinear vectors are always equal in magnitude.
(iii) Two vectors having same magnitude are collinear.
(iv) Two collinear vectors having the same magnitude are equal.
Solution

(i) True.
Vectors  a and -a  are parallel to the same line.
(ii) False.
Collinear vectors are those vectors that are parallel to the same line.
(iii) False.
It is not necessary for two vectors having the same magnitude to be parallel to the same line.
(iv) False.
Two vectors are said to be equal if they have the same magnitude and direction, regardless of the positions of their initial points.

 NCERT Solutions Class 12 Mathematics Chapter 1 Relations and Functions
 NCERT Solutions Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions
 NCERT Solutions Class 12 Mathematics Chapter 3 Matrices
 NCERT Solutions Class 12 Mathematics Chapter 4 Determinants
 NCERT Solutions Class 12 Mathematics Chapter 5 Continuity and Differentiability
 NCERT Solutions Class 12 Mathematics Chapter 6 Application of Derivatives
 NCERT Solutions Class 12 Mathematics Chapter 7 Integrals
 NCERT Solutions Class 12 Mathematics Chapter 8 Application of Integrals
 NCERT Solutions Class 12 Mathematics Chapter 9 Differential Equations
 NCERT Solutions Class 12 Mathematics Chapter 10 Vector Algebra
 NCERT Solutions Class 12 Mathematics Chapter 11 Three Dimensional Geometry
 NCERT Solutions Class 12 Mathematics Chapter 12 Linear Programming
 NCERT Solutions Class 12 Mathematics Chapter 13 Probability

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### Chapter 10 Vector Algebra Class 12 Mathematics NCERT Solutions

The Class 12 Mathematics NCERT Solutions Chapter 10 Vector Algebra are designed in a way that will help to improve the overall understanding of students. The answers to each question in Chapter 10 Vector Algebra of Mathematics Class 12 has been designed based on the latest syllabus released for the current year. We have also provided detailed explanations for all difficult topics in Chapter 10 Vector Algebra Class 12 chapter of Mathematics so that it can be easier for students to understand all answers.

#### NCERT Solutions Chapter 10 Vector Algebra Class 12 Mathematics

Class 12 Mathematics NCERT Solutions Chapter 10 Vector Algebra is a really good source using which the students can get more marks in exams. The same questions will be coming in your Class 12 Mathematics exam. Learn the Chapter 10 Vector Algebra questions and answers daily to get a higher score. Chapter 10 Vector Algebra of your Mathematics textbook has a lot of questions at the end of chapter to test the students understanding of the concepts taught in the chapter. Students have to solve the questions and refer to the step-by-step solutions provided by Mathematics teachers on studiestoday to get better problem-solving skills.

#### Chapter 10 Vector Algebra Class 12 NCERT Solution Mathematics

These solutions of Chapter 10 Vector Algebra NCERT Questions given in your textbook for Class 12 Mathematics have been designed to help students understand the difficult topics of Mathematics in an easy manner. These will also help to build a strong foundation in the Mathematics. There is a combination of theoretical and practical questions relating to all chapters in Mathematics to check the overall learning of the students of Class 12.

#### Class 12 NCERT Solution Mathematics Chapter 10 Vector Algebra

NCERT Solutions Class 12 Mathematics Chapter 10 Vector Algebra detailed answers are given with the objective of helping students compare their answers with the example. NCERT solutions for Class 12 Mathematics provide a strong foundation for every chapter. They ensure a smooth and easy knowledge of Revision notes for Class 12 Mathematics. As suggested by the HRD ministry, they will perform a major role in JEE. Students can easily download these solutions and use them to prepare for upcoming exams and also go through the Question Papers for Class 12 Mathematics to clarify all doubts

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