Векторлардың скалярлық көбейтіндісі
Анықтама мен векторларының скалярлық көбейтіндісі деп
(3)
санын айтамыз. Мұндағы - мен векторлары арасындығы бұрыш. Анықтама бойынша,
.
Бұл сан вектордың скалярлық квадраты деп аталады. Егер мен векторлары өзара перпендикуляр болса, онда .
Бірлік базистік векторлар үшін
, , , , ,
теңдіктері орындалады. Координаттары арқылы берілген және векторларының скалярлық көбейтіндісі
![](data:image/png;base64,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) (4)
формуласы арқылы анықталады.
немесе
болғандықтан, мен векторларының скалярлық көбейтіндісін
немесе
түрінде жазуға болады. (3) және (4) формулаларынан
немесе, координаттары арқылы
мен
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