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# Arihant's Vectors and 3D Geometry PDF: A Must-Have for Math Lovers

## Vectors and 3D Geometry by Arihant: A Complete Guide with PDF Download

If you are preparing for JEE Main or Advanced, you might be wondering how to master the topics of vectors and 3D geometry. These topics are essential for understanding the concepts of physics and calculus, as well as solving problems involving space and motion. However, many students find them challenging and confusing.

That's why you need a good book that can help you learn the theory and practice the exercises of vectors and 3D geometry in a systematic and effective way. One such book is Vectors and 3D Geometry by Arihant, written by Amit M Agarwal, a renowned author and expert in mathematics for JEE.

## Features of Vectors and 3D Geometry by Arihant

Vectors and 3D Geometry by Arihant is a comprehensive and well-designed book that covers all the concepts and applications of vectors and 3D geometry for JEE Main and Advanced. The book has the following features:

• It is divided into 12 chapters, each covering a specific topic of vectors and 3D geometry, such as vector algebra, scalar and vector products, straight lines, planes, spheres, cones, cylinders, etc.

• Each chapter begins with a brief introduction of the topic, followed by sessionwise theory and exercises. The theory is explained in a simple and lucid manner, with ample examples and illustrations.

• The exercises are divided into two levels: Level I for JEE Main and Level II for JEE Advanced. The exercises contain a variety of questions, such as objective type, assertion-reasoning type, matching type, comprehension type, etc.

• The book also contains previous years' questions of JEE Main and Advanced at the end of each chapter, along with detailed solutions.

• The book also provides tips and tricks to solve the problems faster and more accurately.

## Contents of Vectors and 3D Geometry by Arihant

The book covers the following topics in detail:

• Vector Algebra: This chapter introduces the basic concepts of vectors, such as magnitude, direction, types, addition, subtraction, multiplication by a scalar, etc. It also explains the geometrical interpretation of vectors and their applications.

• Scalar (or Dot) Product of Vectors: This chapter explains the definition and properties of scalar product of two vectors, along with its geometrical significance. It also covers the projection of a vector on another vector, angle between two vectors, work done by a force, etc.

• Vector (or Cross) Product of Vectors: This chapter explains the definition and properties of vector product of two vectors, along with its geometrical significance. It also covers the area of a parallelogram, volume of a parallelepiped, moment of a force, torque, etc.

• Scalar Triple Product of Vectors: This chapter explains the definition and properties of scalar triple product of three vectors, along with its geometrical significance. It also covers the volume of a tetrahedron, coplanarity of four points or three vectors, etc.

• Vector Triple Product of Vectors: This chapter explains the definition and properties of vector triple product of three vectors, along with its applications.

• Straight Lines in Space: This chapter explains the equation and parametric form of a straight line in space, along with its direction ratios and direction cosines. It also covers the angle between two lines, shortest distance between two lines, coplanarity of three lines or four points, etc.

• Planes: This chapter explains the equation and parametric form of a plane in space, along with its normal vector and intercepts. It also covers the angle between two planes, distance of a point from a plane, equation of a plane passing through given points or containing given lines, etc.

• Straight Line and Plane: This chapter explains the relation between a straight line and a plane in space, such as intersection point or condition for parallelism or perpendicularity. It also covers the angle between a line and a plane, image of a point or a line in a plane, etc.

• Sphere: This chapter explains the equation and standard form of a sphere in space, along with its center and radius. It also covers the intersection of a sphere with a line or a plane, tangent plane to a sphere at a point or through a line or containing three points,

Cone: This chapter explains the equation and standard form of a cone in space,along with its vertex, axis, semi-vertical angle, generator, directrix, etc. It also covers the intersection of a cone with a line or a plane,tangent plane to a cone at a point or through a line,etc.

Cylinder: This chapter explains the equation and standard form of a cylinder in space,along with its axis, radius, generator, directrix, etc. It also covers the intersection of a cylinder with a line or a plane,tangent plane to a cylinder at a point or through a line,etc.

• Miscellaneous Topics: This chapter covers some miscellaneous topics related to vectors and 3D geometry,such as skew lines,polar coordinates,spherical coordinates,spherical trigonometry,etc.

## Benefits of Vectors and 3D Geometry by Arihant

Vectors and 3D Geometry by Arihant is not just a book, but a complete learning resource for JEE aspirants. The book has the following benefits:

• It covers the entire syllabus of vectors and 3D geometry for both JEE Main and Advanced, as per the latest pattern and guidelines.

• It provides a clear and concise explanation of the concepts, along with numerous examples and diagrams to enhance the understanding.

• It offers a large number of exercises with varying levels of difficulty and types of questions, to help the students practice and improve their problem-solving skills.

• It includes the previous years' questions of JEE Main and Advanced, along with detailed solutions, to help the students familiarize themselves with the exam pattern and trends.

• It gives useful tips and tricks to solve the problems faster and more accurately, as well as to avoid common mistakes and errors.

• Go to this link, which will take you to a website that hosts the PDF file of the book.

• Click on the "Download PDF" button, which will open a new tab with the PDF file.

• Save the PDF file on your device or cloud storage, or print it if you prefer a hard copy.

Note: The PDF file is for personal use only. Please do not share or distribute it without the permission of the author or publisher.

## Some Tips to Study Vectors and 3D Geometry by Arihant

Vectors and 3D Geometry by Arihant is a great book to study the topics of vectors and 3D geometry for JEE. However, to get the best results from this book, you need to follow some tips and strategies. Here are some of them:

• Read the theory carefully and understand the concepts and formulas. Do not skip any topic or session, as they are interrelated and important.

• Solve the examples and exercises after reading the theory. Try to solve them on your own, without looking at the solutions. If you get stuck, refer to the hints or solutions provided in the book.

• Revise the theory and formulas regularly. Make notes or flashcards of the important points and formulas, and review them frequently.

• Practice as many questions as possible from different sources, such as mock tests, previous years' papers, online platforms, etc. This will help you improve your speed, accuracy, and confidence.

• Analyze your performance and identify your strengths and weaknesses. Work on your weak areas and clear your doubts with the help of teachers or peers.

## Conclusion

Vectors and 3D Geometry by Arihant is one of the best books for JEE aspirants who want to master the topics of vectors and 3D geometry. The book covers the entire syllabus of these topics for both JEE Main and Advanced, with a clear and concise explanation of the concepts, a large number of exercises with varying levels of difficulty and types of questions, previous years' questions with detailed solutions, and useful tips and tricks to solve the problems faster and more accurately. The book also provides a PDF version that can be downloaded for free from a website.

If you are looking for a complete and effective learning resource for vectors and 3D geometry for JEE, you should definitely check out Vectors and 3D Geometry by Arihant. It will help you learn the theory and practice the exercises in a systematic and efficient way, and prepare you for your JEE exam with confidence.

Vectors and 3D Geometry by Arihant is one of the best books for JEE aspirants who want to master the topics of vectors and 3D geometry. The book covers the entire syllabus of these topics for both JEE Main and Advanced, with a clear and concise explanation of the concepts, a large number of exercises with varying levels of difficulty and types of questions, previous years' questions with detailed solutions, and useful tips and tricks to solve the problems faster and more accurately. The book also provides a PDF version that can be downloaded for free from a website.

If you are looking for a complete and effective learning resource for vectors and 3D geometry for JEE, you should definitely check out Vectors and 3D Geometry by Arihant. It will help you learn the theory and practice the exercises in a systematic and efficient way, and prepare you for your JEE exam with confidence. b99f773239

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