11.3-bo'lim : Nuqta mahsuloti
1. Nuqta mahsulotini aniqlang, agar \(\vec a = \left\langle {9,5, - 4,2} \right\rangle \) va \(\vec b = \left\langle { - 3, - 2,7, - 1} \right\rangle \) bo'lsa \(\vec a\centerdot \vec b\).
Yechim
Bu erda juda ko'p narsa qilish kerak emas. Biz faqat nuqta mahsulotining ta'rifidan o'tishimiz kerak.
\[\vec a\centerdot \vec b = \left( 9 \right)\left( { - 3} \right) + \left( 5 \right)\left( { - 2} \right) + \left( { - 4} \right)\left( 7 \right) + \left( 2 \right)\left( { - 1} \right) = \require{bbox} \bbox[2pt,border:1px solid black]{{ - 67}}\]