Vector algebra and analytical geometry textbook I have a very comprehensive textbook written in portuguese about vector algebra and analytical geometry, but the author didn't include a bibliography at the book's end. What textbooks, in english, contains these syllabus (I'm pasting the list of chapters)? Defining a vector Vector addition Multiplication of vector by real number Adding points and vectors Geometric applications Linear dependence Basis Change of basis Dot product (or scalar product) Orientation of V3 Cross product (or vector product) Mixed product (or triple product) Coordinate system Equation of line and plane Intersection of planes and lines Relative position of lines and planes Perpendicularity and orthogonality Measuring angles Measuring distance Changing the coordinate system Ellipse, hyperbola and parabola Conics Espherical surfaces Quadrics PS: For some reason the cross product symbol in this textbook is ^, not the X used in notes and books that I've found in english. In Brazil no author merges calculus and analytical geometry in one textbook, I don't know why most american authors (or is it the publishers?) do. The textbook has 500+ pages, almost as large as a calculus textbook alone.