NCERT Solutions for Class 12 Maths Chapter 10 Vector Algebra

 

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NCERT Solutions for Class 12 Maths Chapter-10 Vector Algebra

In this chapter we will learn vector quantities, operations on vectors and also learn their geometric properties and algebraic properties like addition, multiplication etc. Vector quantity  is quantity with both magnitude and direction. Vector algebra plays an important role in physics. In chapter 10 Vector Algebra total 54 questions are given in 4 exercises and also to develop grip on the topic 30 solved questions are given in the NCERT textbook. The NCERT Solutions for Class 12 Maths Chapter-10 Vector Algebra are prepared by subject experts to help students in their board exam as well as in competitive exams like JEE Main etc. 

The NCERT Class 12 Maths Chapter-10 Vector Algebra is an important topic for class 12th students because this topic helps in both maths as well as physics and aslo carry good weightage in the board exams as well as competitive exams. Class 12 maths chapter 10 NCERT Solutions help students to understand the topic in better way because Vector algebra require lot's of  practice. Before going to discuss this chapter in detail, we need to understand what is a vector quantity and what is a scalar quantity.

Vector Quantity- Quantity which involves both the value magnitude and direction. Vector quantities like weight, velocity, acceleration, displacement, force, momentum, etc.

Scalar Quantity- Quantity which involves only one value (magnitude) which is a real number. Scalar quantities like distance,  length, time, mass, speed, area, temperature, work,money, volume, voltage, density, resistance etc.

The more focus of  Class 12 Maths Chapter-10 Vector Algebra is on vector quantities. To develop grip on the topic, students must try to  solve miscellaneous exercise.

Topics of NCERT Grade 12 Maths Chapter-10 Vector Algebra

10.1 Introduction

10.2 Some Basic Concepts

10.3 Types of Vectors

10.4 Addition of Vectors

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

NCERT Solutions for Class 12 Maths Chapter 10 Vector Algebra- Exercise Questions

Q-1   Write down a unit vector in XY-plane, making an angle of 30 degrees with the positive direction of x-axis.

Q-2  Find the scalar components and magnitude of the vector joining the points P(x1, y1, z1) and Q(x2, y2, z2).

NCERT Solutions for Class 12 Maths Chapter 10 Vector Algebra Exercise 10.1

NCERT Solutions for Class 12 Maths Chapter 10 Vector Algebra Exercise 10.2

NCERT Solutions for Class 12 Maths Chapter 10 Vector Algebra Exercise 10.3

NCERT Solutions for Class 12 Maths Chapter 10 Vector Algebra Exercise 10.4 

NCERT Solutions for Class 12 Maths Chapter 10 Vector Algebra Miscellaneous

NCERT Solutions for class 12- Maths

Chapter 1

Relations and Functions

Chapter 2

Inverse Trigonometric Functions

Chapter 3

Matrices

Chapter 4

Determinants

Chapter 5

Continuity and Differentiability

Chapter 6

Application of Derivatives

Chapter 7

Integrals

Chapter 8

Application of Integrals

Chapter 9

Differential Equations

Chapter 11

Three Dimensional Geometry

Chapter 12

Linear Programming

Chapter 13

Probability

NCERT Solutions for Class 12

 

 

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