An Introduction to Three Dimensional Geometry and Projection Operators

This textbook is written to develop thorough understanding the mastery behind the foundations of geometry that needed to solve geometric problems using vectors in three dimensional Euclidean space at a useful proficiency level it introduces a comprehensive study on three dimensional Euclidean spaces’ objects namely; points line segments vectors straight lines planes spheres cylinders quadratic surfaces in general analytically and includes different comparisons between such studied objects among themselves it focuses on the orthogonal projections of a point and directed line segment on line on plane and on sphere and it is recommended world widely for the second level universities’ students its contents are written in a systematic streaming understandable and attractive way for student’s interest supported with adequate number of examples exercises problem solving and applications to meet the quality standard. Moreover; it is a prerequisite for some other fields of study like Descriptive Geometry Differential Geometry Analytical Geometry Algebraic geometry Injective Geometry and some others.