Perkalian Skalar (Dot Product)

Diketahui vektor \(\textbf{u} = \left(\begin{array}{c}a\\ b\end{array}\right)\) dan \(\textbf{v} = \left(\begin{array}{c}c\\ d\end{array}\right)\). Perkalian skalar antara vektor \(\textbf{u}\) dan \(\textbf{v}\) dihitung sebagai berikut: \(\left(\begin{array}{c}a\\ b\end{array}\right)\cdot \left(\begin{array}{c}c\\ d\end{array}\right) = ac + bd\)   Berapakah hasil \(\textbf{u}\cdot \textbf{u}\)? \(\textbf{u}\cdot \textbf{u} = ||\textbf{u}||^2\)

Contoh Soal

  Soal 1 Tentukan hasil perkalian skalar antara vektor \(\textbf{u} = \left(\begin{array}{c}-3\\ 2\end{array}\right)\) dan \(\textbf{v} = \left(\begin{array}{c}-5\\ 1\end{array}\right)\)   Soal 2 Tentukan hasil perkalian skalar antara vektor \(\textbf{u} = \left(\begin{array}{c}-1\\ 0\\2\end{array}\right)\) dan \(\textbf{v} = \left(\begin{array}{c}3\\8\\-5\end{array}\right)\)