Analytic Geometry - Themes

Themes

Important themes of analytical geometry are

  • vector space
  • definition of the plane
  • distance problems
  • the dot product, to get the angle of two vectors
  • the cross product, to get a perpendicular vector of two known vectors (and also their spatial volume)
  • intersection problems
  • conic sections depending on the class, this may include rotation of coordinates and the general quadratic problems
Ax2 + Bxy + Cy2 +Dx + Ey + F = 0. If the Bxy term is considered, rotations are generally used.

Many of these problems involve linear algebra.

Read more about this topic:  Analytic Geometry

Famous quotes containing the word themes:

    I suppose you think that persons who are as old as your father and myself are always thinking about very grave things, but I know that we are meditating the same old themes that we did when we were ten years old, only we go more gravely about it.
    Henry David Thoreau (1817–1862)

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