- #1
0kelvin
- 50
- 5
I'm planning to write about analytical geometry, but I'm unsure about where to start. The course that I've taken begins with the definition of a vector, it then proceeds to develops all the vector algebra and all properties. After it reaches the cross product and triple product it begins to apply all vector algebra that had been developed previously in analytical geometry, ending at conics and quadrics.
However, I've seen courses that begin with linear systems, matrices and matrix algebra, then it introduces vectors. Another approach that I've seen is to begin with coordinate system, lines, points, distance between two points, etc and then it introduces vectors.
I'm not planning to follow the "calculus + analytical geometry" path. Is there a criteria to decide where to start with? The only thing I'm forseeing up to now is that the vector and matrix algebra part is pretty easy to introduce in 2D, then 3D and extend that to ##R^{n}##.
However, I've seen courses that begin with linear systems, matrices and matrix algebra, then it introduces vectors. Another approach that I've seen is to begin with coordinate system, lines, points, distance between two points, etc and then it introduces vectors.
I'm not planning to follow the "calculus + analytical geometry" path. Is there a criteria to decide where to start with? The only thing I'm forseeing up to now is that the vector and matrix algebra part is pretty easy to introduce in 2D, then 3D and extend that to ##R^{n}##.
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