# Vector algebr and analytical geometry textbook

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)?

1. Defining a vector
3. Multiplication of vector by real number
5. Geometric applications
6. Linear dependence
7. Basis
8. Change of basis
9. Dot product (or scalar product)
10. Orientation of V3
11. Cross product (or vector product)
12. Mixed product (or triple product)
13. Coordinate system
14. Equation of line and plane
15. Intersection of planes and lines
16. Relative position of lines and planes
17. Perpendicularity and orthogonality
18. Measuring angles
19. Measuring distance
20. Changing the coordinate system
21. Ellipse, hyperbola and parabola
22. Conics
23. Espherical surfaces

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.

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Found textbooks that cover what I asked for:

Analytic Geometry with an introduction to vectors and matrices - David Murdoch
Analytic geometry - Charles Lehman
The elements of analytic geometry - Percey F. Smith and Arthur Sullivan Gale
Analytic Geometry : A Vector Approach - Charles Wexler (coincidentally, the title is the same as the book in portuguese that I know)
Vector geometry - Gilbert de B. Robinson
A vector space approach to geometry - Melvin Hausner
Elementary vectory geometry - Seymour Schuster
Vectors and their applications - Anthony J. Pettofrezzo
Schaum's outline of vector analysis
Schaum's outline of analytic geometry

Seems that no textbook contains all the chapters I posted in one book. Most of the books that I've found are really old.