Skills In Mathematics For All Engineering Entrance Examinations Vectors & 3D Geometry

To equally help the beginners as well as experts, the skills in mathematics series aims at helping the students take their knowledge and application for various mathematical concepts to a whole new level. The books in this series have been designed so as to work as elementary textbooks which will play a crucial role in building the concepts from scratch till the end and help in preparation for various competitive examinations. This master piece on vectors and 3d geometry deals with the elements of vectors and 3d geometry incisively emphasizing the applications of vector analysis and three-dimensional geometry to physical problems. The book has been divided into three chapters namely vector algebra, product of vectors and three dimensional coordinate system, subdivided into properties of vectors, linear combination of vectors, product of two vectors, vectors or cross product of two vectors, scalar triple product, vector triple product, straight and skew line, plane and sphere, each containing definitions along with figures for better understanding of the topics. Various points to consider have been spread all over the chapters for quick understanding along with illustrations of various types. Proficiency exercises with various types of questions such as single correct option, multiple correct option, passage based, assertion-reason, integer type and matching type questions have been added at the end of each chapter with complete solutions. A section containing previous years' questions has also been included in the book to give the aspirants an insight into the question pattern and the level of the questions asked. This is a must have textbook which starts from fundamentals and gradually builds your concepts upto the level required for engineering entrances and finally will place you among the toppers.