11.3-bo'lim : Nuqta mahsuloti
2. Nuqta mahsulotini aniqlang, agar \(\vec a = \left\langle {0,4, - 2} \right\rangle \) va \(\vec b = 2\vec i - \vec j + 7\vec k\) bo'lsa \(\vec a\centerdot \vec b\).
Yechim
Bu erda juda ko'p narsa qilish kerak emas. Biz shunchaki nuqta mahsulotining ta'rifini ko'rib chiqishimiz kerak va bu erda "aralash" yozuvdan hayajonlanmaslik kerak. Bilamizki, ular ekvivalent yozuvlardir!
\[\vec a\centerdot \vec b = \left( 0 \right)\left( 2 \right) + \left( 4 \right)\left( { - 1} \right) + \left( { - 2} \right)\left( 7 \right) = \require{bbox} \bbox[2pt,border:1px solid black]{{ - 18}}\]