Penjumlahan Vektor
Jika \(\textbf{u} = \left(\begin{array}{c}a\\ b\end{array}\right)\) dan \(\textbf{v} = \left(\begin{array}{c}c\\ d\end{array}\right)\) maka:
\(\textbf{u} + \textbf{v} = \left(\begin{array}{c}a\\ b\end{array}\right) + \left(\begin{array}{c}c\\ d\end{array}\right)\)
\(\textbf{u} +\textbf{v} = \left(\begin{array}{c}a + c\\ b + d\end{array}\right)\)
Pengurangan Vektor
Jika \(\textbf{u} = \left(\begin{array}{c}a\\ b\end{array}\right)\) dan \(\textbf{v} = \left(\begin{array}{c}c\\ d\end{array}\right)\) maka:
\(\textbf{u} \:-\: \textbf{v} = \left(\begin{array}{c}a\\ b\end{array}\right) \:-\: \left(\begin{array}{c}c\\ d\end{array}\right)\)
\(\textbf{u} \:-\: \textbf{v} = \left(\begin{array}{c}a \:-\: c\\ b \:-\: d\end{array}\right)\)
Contoh Soal
Soal 1
Jika \(\textbf{u} = \left(\begin{array}{c}-12\\ 5\end{array}\right)\) dan \(\textbf{v} = \left(\begin{array}{c}4\\ -3\end{array}\right)\), tentukan nilai \(\textbf{u} +\textbf{v} \)
Soal 2
Jika \(\textbf{u} = \left(\begin{array}{c}12\\ 7\end{array}\right)\) dan \(\textbf{v} = \left(\begin{array}{c}4\\ 1\end{array}\right)\), tentukan \(||\textbf{u} \:-\:\textbf{v}||\)
Soal 3
Tentukan nilai \(m\) yang memenuhi persamaan \(-2\left(\begin{array}{c}3\\ 1\end{array}\right) + \left(\begin{array}{c}-4\\ 2\end{array}\right) = \left(\begin{array}{c}1+m\\ 0\end{array}\right)\)