Vektoren addieren
Aufgabe

Berechnen Sie.

\( \left(\begin{array}{c} 2 \\ 1 \\ 3 \end{array}\right) + \left(\begin{array}{c} 1 \\ 3 \\ 2 \end{array}\right) \)

Lösung

\( \left(\begin{array}{c} 2 \\ 1 \\ 3 \end{array}\right) + \left(\begin{array}{c} 1 \\ 3 \\ 2 \end{array}\right) = \left(\begin{array}{c} 2 + 1 \\ 1 + 3 \\ 3 + 2 \end{array}\right) = \left(\begin{array}{c} 3 \\ 4 \\ 5 \end{array}\right) \)

Vektoren subtrahieren
Aufgabe

Berechnen Sie.

\( \left(\begin{array}{c} 2 \\ 4 \\ 3 \end{array}\right) - \left(\begin{array}{c} 3 \\ 1 \\ -2 \end{array}\right) \)

Lösung

\( \left(\begin{array}{c} 2 \\ 4 \\ 3 \end{array}\right) - \left(\begin{array}{c} 3 \\ 1 \\ -2 \end{array}\right) = \left(\begin{array}{c} 2 - 3 \\ 4 - 1 \\ 3 - (-2) \end{array}\right) = \left(\begin{array}{c} -1 \\ 3 \\ 5 \end{array}\right) \)

Last modified: Thursday, 28 October 2021, 11:17 AM