Elements of Vector Algebra and Analytical Geometry . Methodical instructions for the performance of control work" is an indispensable assistant for students and teachers seeking to understand the basics of vector algebra and analytical geometry more deeply. Authors representing a team of professionals in the field of mathematics created this work in order to facilitate the learning process and help readers successfully cope with the control work in these disciplines. Vector algebra and analytic geometry are not just abstract mathematical concepts, but also powerful tools that help describe and analyze the world around us. The book examines the key elements of these disciplines, ranging from the basics of vector space to more complex topics, such as operations with vectors, equations of lines and planes, as well as their graphical representation. Each topic is illustrated with examples and tasks, which allows the reader not only to learn the theoretical material, but also to apply it in practice. This book will be especially useful for students of technical and natural sciences, as well as for anyone interested in mathematics and its application in real life. It is suitable for both beginners and those who already have some knowledge in the field of vector algebra and analytical geometry and want to deepen their skills. Teachers will also find in it a lot of useful materials for preparing for classes and monitoring students' knowledge. The topics raised in the book cover a wide range of issues, such as vector operations, linear transformations, coordinate systems and their transformations, as well as the application of vector algebra in various fields of science and technology. The authors focus on the practical side of the material under study, which makes the book especially valuable for those who want not only to learn the theory, but also to apply knowledge to real-world problems. The style of presentation in the book is clear and accessible, which makes it easy to perceive even the most complex concepts. The authors use illustrative examples and illustrations, which makes the learning process more exciting and effective. In addition, guidelines for the implementation of the test work will help readers to better prepare for exams and tests, as well as to develop skills of independent work. If you are interested in topics such as “vector algebra”, “analytical geometry”, “methodical instructions on mathematics”, then this book will be a real find for you. It will not only help you master complex mathematical concepts, but also inspire you to further study mathematics and its applications in various fields. Elements of Vector Algebra and Analytical Geometry . Guidelines for the performance of control work" is not just a textbook, but a whole world in which you immerse yourself, opening up new horizons of knowledge. It will become your reliable companion in the world of mathematics, helping you to overcome difficulties and achieve success in your studies. Do not miss the opportunity to take a step towards your mathematical goals with the help of this unique publication!