# NCERT Solutions for Class 12 Maths Chapter 10 Free PDF Download

## NCERT Solutions for Class 12 Maths Chapter 10 – Vector Algebra

NCERT solutions for class 12 maths chapter 10 will help you to ace the unsolved problems in the Class 12 book prescribed by the NCERT for all the schools of CBSE. These solutions present the best alternative and a very interesting way to learn, which helps to enhance your abilities and help to get ready for CBSE Class 12Â  exams.

NCERT solutions for class 12 maths for chapter 10 are prepared by our team of highly professional, qualified and experienced faculties. NCERT solutions helps you to quickly grasp all the basic concepts. In case you have a doubt while you are studying CBSE Class 10 Maths Chapter 10 NCERT Solutions which we are providing, for this, we have teachers who are just a click away to solve your doubt any time.

### CBSE Class 12 Maths Chapter 10 â€“ Vector Algebra NCERT Solutions

In NCERT solutions for class 12 maths for chapter 10, you will learn scalar or vector, graphical displacement, type of vector, multiplication of a vector by a scalar, equal vectors, unit vector, direction cosines and ratios, addition of vectors, joining two points, section formula, right-angled triangle,Â collinearity of two vectors,Â collinearity of 3 position vectors, scalar product projection,Â vector product area.

### Sub-topics covered under NCERT Solutions for Class 12 Maths Chapter 10Â

• 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 for Chapter 10

In NCERT solutions for class 12 maths for chapter 10, you will learn the difference between a scalar and a vector quantity, their properties, operations of vectors.Â Let us now discuss the subtopics include in NCERT solutions for class 12 maths for chapter 10.

10.1 â€“ Introduction

Here you will study about a brief introduction to the vectors.

10.2 – Some Basic Concepts

In this, you will study about the scalar components of vectors such as direction ratios, its projections along the respective axes.

10.3 – Types of Vectors

In this you will study about the types of vectors, zero or null vector, unit vector, free vectors, negative of a vector, like and unlike vectors, collinear or parallel vectors, coinitial vectors, coterminous vectors, localized vectors, coplanar vectors, reciprocal of a vector.

In this, you will study triangle law of addition of vectors, parallelogram law of addition of vectors, its properties, subtraction of vectors.

10.5 – Multiplication of a Vector by a Scalar

In this, you will study about the multiplication of vectors and its properties.

10.5.1- Components of a vector

In this, you will study components of vectors, direction, ratios, magnitude.

10.5.2 – Vector joining two points

In this, you will study about vector joining two-point and solve them.

10.5.3 – Section formula

In this, you will study to calculate position vectors by dividing the vector internally and externally by section formula.

10.6 – Product of Two Vectors

In this, you will study the methods of calculating the product of two vectors

10.6.1- Scalar (or dot) product of two vectors

In this you will study about the scalar product of vectors and its properties, distributivity of scalar product over addition, scalar product is defined by the cosine of the angle formed between two vectors.

10.6.2 – Projection of a vector on a line

In this you will study about the projection of a vector on a line makes the angle of cosine with anticlockwise direction, its properties.

10.6.3 – Vector (or cross) product of two vectors

In this you will study about the cross product of vectors and its properties, vector product is defined by the sine of the angle formed between two vectors.

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We provide comprehensive NCERT Solutions for class 12 to all questions given in the exercises at the chapter end. And we also provide free pdf for the NCERT solutions for class 12 maths for chapter 10. By Toppr app, you can get a free session of doubt solving by our experts, free video of all topics which explain each and every concept in detail. We also offer you free online test by which you can perform extremely well in your exam. So, Download Toppr app forÂ AndroidÂ andÂ iOSÂ orÂ SignupÂ for free.

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