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Algevia

Analytic geometry

Vectors, lines, dot and cross product

The entry into analytic geometry — up to Abitur+

Final two years of upper secondary school and exam preparation, basic and advanced level.

The booklet starts with vectors and lines, then the relative position of two lines. It continues with the dot product, the cross product and families of lines. The chapters Application, Abitur, Transfer and Abitur+ raise the level step by step. Every problem comes with two hints, an approach, the full solution and the typical mistake.


§01Preview

Actual pages from the product, unaltered.

  • Cover: Vectors, lines, dot and cross product
  • Problem page from the chapter Vectors
  • Solution page with hints, approach, full solution and typical mistake

§02Contents

  1. 01Vectors1–5/6
  2. 02Lines1–5/6
  3. 03Relative position of two lines1–5/6
  4. 04Dot product1–5/6
  5. 05Cross product1–5/6
  6. 06Families of lines1–5/6
  7. 07Application3/6
  8. 08Abitur4/6
  9. 09Transfer5/6
  10. 10Abitur+6/6

§03Distribution of problems

How many problems sit at each level. If you are catching up on foundations, read the figures at 1 and 2; if you are working towards the final exam, those at 4 to 6.

1
Foundations
17
2
Standard
47
3
Application
10
4
Exam level
10
5
Transfer
22
6
Beyond exam level
10

Problems116

§04Topics

  • Lines in space
  • Cross product
  • Relative position
  • Dot product
  • Vectors and vector arithmetic

§05Curriculum reference

No curriculum reference has been recorded for this product yet.