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This course teaches metrical geometry through an algebraic approach, starting with the dot product and Pythagoras' theorem. Students will learn about the properties of the dot product, perpendicularity of vectors, and the concept of quadrance. The course also covers symmetric bilinear forms and their applications in relativistic geometry. The teaching method involves algebraic proofs and explanations. This course is intended for undergraduate students studying linear algebra or anyone interested in a unique perspective on geometric concepts.
