What's a good book on intro analynical geometry?

[p3t3r1]

Hi, I am doing the Discrete math course in high school and we are doing some analynical math concepts like
vectors,
cross product,
dot product,
line equation in the form of r = a + tm,
plane equations in the form of r = a +tu +sv,
intersection of lines
and planes and planes and planes etc..

I don't really know which branch of mathematics they belong to and after reading about 3 pages of book recommendations I couldn't find anything on them. Seems of to full of calculus for the most part. Can anyone suggest some good textbooks for a beginner? My school's textbook is quite boring and horrible since it tells you how but not why. This is really hard when application questions come up on a test. You can memorize all the concepts you want but you can't solve it unless you know what it is about. This thinking "outside the box" is driving me crazy and I think I need to understand the math concepts before doing anymore homework.

My math background isn't exactly great since I focused on memorization during my early years. Thus, I forget most of the Grade 11 mathematics I learned before other than the stuff I need for my current math course. Bummer. Thanks for any recommendations.

 

[Daverz]

Maybe About Vectors by Banesh Hoffman. Here's the table of contents. Or maybe this book, which has more on lines and planes. At a more advanced level, there's A Vector Space Approach to Geometry by Melvin Hausner. He does use a little calculus here and there, but you could probably just ignore it. (No, I don't have stock in Dover, I just like their selection of books).

 

[p3t3r1]

Some great books there. Thanks alot.