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
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- 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:
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—Barbara Ehrenreich (b. 1941)
“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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