**CBSE NCERT Solutions for Class 12 Maths Chapter 10 Vector Algebra **– is designed and prepared by the best teachers across India. All the important topics are covered in the exercises and each answer comes with a detailed explanation to help students understand concepts better. These NCERT solutions play a crucial role in your preparation for all exams conducted by the CBSE, including the JEE.

Chapter 10 Vector Algebra NCERT Solutions provided on this page covers multiple exercises. The answer to each question in every exercise is provided along with complete, step-wise solutions for your better understanding. This will prove to be most helpful to you in your home assignments as well as practice sessions. Read on to find out everything about CBSE NCERT Solutions for Class 12 Maths Chapter 10 Vector Algebra.

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**NCERT Solutions for Class 12 Maths Chapter 10 PDF**

The topics and sub-topics included in the Vector Algebra chapter are tabulated below:

Ex 10.1 | Introduction |

Ex 10.2 | Some Basic Concepts |

Ex 10.3 | Types of Vectors |

Ex 10.4 | Addition of Vectors |

Ex 10.5 | Multiplication of a Vector by a Scalar |

Ex 10.5.1 | Components of a vector |

Ex 10.5.2 | Vector joining two points |

Ex 10.5.3 | Section formula |

Ex 10.6 | Product of Two Vectors |

Ex 10.6.1 | Scalar (or dot) product of two vectors |

Ex 10.6.2 | Projection of a vector on a line |

Ex 10.6.3 | Vector (or cross) product of two vectors |

### CBSE NCERT Solutions For Class 12 Maths Chapter 10 PDF Download

Candidates can download the NCERT Solutions for Class 12 Maths Chapter 10 Vector Algebra PDF for free study in offline mode. All the solutions provided on this page are solved by top academic experts of Embibe in order to help students in their studies.

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**NCERT Solutions For Class 12 Maths Chapter 10 – Vector Algebra NCERT Solutions**

In our day-to-day life, we come across many queries such as – What is your height? How should a football player hit the ball to give a pass to another player on his team? Observe that a possible answer to the first query maybe 1.6 meters, a quantity that involves only one value (magnitude) which is a real number. Such quantities are called scalars. However, an answer to the second query is a quantity (called force) which involves muscular strength (magnitude) and direction (in which another player is positioned). Such quantities are called vectors. In mathematics, physics, and engineering, we frequently come across both types of quantities, namely, scalar quantities such as length, mass, time, distance, speed, area, volume, temperature, work, money, voltage, density, resistance, etc. and vector quantities like displacement, velocity, acceleration, force, weight, momentum, electric field intensity, etc. In this chapter, we will study some of the basic concepts about vectors, various operations on vectors, and their algebraic and geometric properties. These two types of properties, when considered together give a full realization to the concept of vectors and lead to their vital applicability in various areas as mentioned above.

### FAQs Related to NCERT Solutions for Class 12 Maths Chapter 10

**Q. What are the exercises discussed in NCERT Solutions for Class 12 Maths Chapter 10?**

A. The main topics of NCERT Solutions for Class 12 Maths Chapter 10 are:

NCERT Solutions for Class 12 Maths Chapter 10 Exercise 10.1 – Introduction

NCERT Solutions for Class 12 Maths Chapter 10 Exercise 10.2 – Basic Concepts

NCERT Solutions for Class 12 Maths Chapter 10 Exercise 10.3 – Types of Vectors

NCERT Solutions for Class 12 Maths Chapter 10 Exercise 10.4 – Addition of Vectors

NCERT Solutions for Class 12 Maths Chapter 10 Exercise 10.5 – Multiplication of a vector by a scalar.

NCERT Solutions for Class 12 Maths Chapter 10 Exercise 10.6 – Product of Two Vectors.

**Q. How many exercises are there in NCERT Solutions for Class 12 Maths Chapter 10?**

A. There is a total of 6 exercises with subtopics in NCERT Solutions for Class 12 Maths Chapter 10.

**Q. What is Zero Vector in Class 12 Maths?**

A. A vector with a magnitude of 0 is called a zero vector. Here the initial and terminating point of the vector co-occurs together and thus gives no direction.

**Q. From where do I get NCERT Solutions for Class 12 Maths Chapter 10 PDF?**

A. On this Embibe page candidates can download complete NCERT Solutions for Class 12 Maths Chapter 10 PDF.

**Q. Where can I download NCERT Solutions for Class 12 Maths for all chapters?**

A. Download **NCERT Solutions For Class 12 Maths** from this given link.

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