The Elements of Vector Algebra and Solid Analytic Geometry” is a systematic collection of problems and exercises and Elements of theory related to them for undergraduate students and also for students who wish to appear at the various Engineering Entrance Examinations. Three dimensional Geometry has been dealt with the help of the vectors. Necessary formulae are also included in the book at proper places. Answers are given for all the problem sets. Solutions of the typical problems have also been given. For practice some problems and exercises have been given with answers only. Efforts have been made to make the fundamentals clear