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**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 V
^{3} - 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.

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