Question: Why cross-product exist at all ?

Cross-product has interesting properties and exists only in dimension 3. I try to explain why.

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I was studying theoretical physics at the Charles university. I am interested in cosmological perturbation theory and mathematical methods of quantum gravity. I am also working in neuroscience. You could find my articles, for example, in online journal European Physical Journal C or mathematical journal Topology and its applications. I participated - during my Ph.D. - in many conferences, for example, in Odessa, Odessa International Astronomical Gamow Conference-School 2013, and cosmological conference Modern cosmology, CMB and LSS in Benasque 2014, or Winter School of Geometry and Physics in Srní 2015. Other my activity is playing the piano. I regularly give concerts. My favourite authors are S.Rachmaninoff, A.Scriabin and F.Chopin. You could find more informations at

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