PsyCheck BaPsy
Lernset 8
Gegeben ist der Vektor r→=(51015)\overrightarrow{r} = \left( \begin{array}{r} 5 \\ 10 \\ 15 \end{array} \right)r=51015
Welche der folgenden Rechnungen entspricht dem Vektor r→\overrightarrow{\mathbf{r}}r ?
r→=2∙(123)+2∙(1,534)\overrightarrow{r} = 2 \bullet \left( \begin{array}{r} 1 \\ 2 \\ 3 \end{array} \right) + 2 \bullet \left( \begin{array}{r} 1,5 \\ 3 \\ 4 \end{array} \right)r=2∙123+2∙1,534
r→=3∙(134)+12∙(256)\overrightarrow{r} = 3 \bullet \left( \begin{array}{r} 1 \\ 3 \\ 4 \end{array} \right) + \frac{1}{2} \bullet \left( \begin{array}{r} 2 \\ 5 \\ 6 \end{array} \right)r=3∙134+21∙256
r→=13∙(212121)+14∙(−81232)\overrightarrow{r} = \frac{1}{3} \bullet \left( \begin{array}{r} 21 \\ 21 \\ 21 \end{array} \right) + \frac{1}{4} \bullet \left( \begin{array}{r} - 8 \\ 12 \\ 32 \end{array} \right)r=31∙212121+41∙−81232
r→=(1512)+(454)\overrightarrow{r} = \left( \begin{array}{r} 1 \\ 5 \\ 12 \end{array} \right) + \left( \begin{array}{r} 4 \\ 5 \\ 4 \end{array} \right)r=1512+454