Entwurf
Vektoren
1 Vektoraddition zeichnerisch (6 min)
Zeichne ein zweidimensionales Koordinatensystem und ermittle zeichnerisch \(\vec{a}+\vec{b}\)
a)
\(\vec{a}= \left(\begin{array}{c}1\\3 \end{array}\right)\) ; \(\vec{b}= \left(\begin{array}{c}2\\4 \end{array}\right)\)
b)
\(\vec{a}= \left(\begin{array}{c}-1\\2 \end{array}\right)\) ; \(\vec{b}= \left(\begin{array}{c}3\\-4 \end{array}\right)\)
| AFB I - K5 | Quelle Torben Würth |
2 Vektoraddition zeichnerisch 2 (8 min)
Zeichne ein zweidimensionales Koordinatensystem und ermittle zeichnerisch \(\vec{a}+\vec{b}+\vec{c}\)
a)
\(\vec{a}= \left(\begin{array}{c}2\\3 \end{array}\right)\) ; \(\vec{b}= \left(\begin{array}{c}4\\1 \end{array}\right)\) ; \(\vec{c}= \left(\begin{array}{c}-1\\2 \end{array}\right)\)
b)
\(\vec{a}= \left(\begin{array}{c}-2\\2 \end{array}\right)\) ; \(\vec{b}= \left(\begin{array}{c}3\\-4 \end{array}\right)\) \(\vec{c}= \left(\begin{array}{c}3\\3\end{array}\right)\)
| AFB I - K5 | Quelle Torben Würth |
3 Vektoraddition rechnerisch (6 min)
Berechne
a)
\(\left(\begin{array}{c}12\\7 \end{array}\right)+\left(\begin{array}{c}2\\4 \end{array}\right)=\)
b)
\(\left(\begin{array}{c}-16\\33 \end{array}\right)+\left(\begin{array}{c}0,5\\-33 \end{array}\right)=\)
c)
\(\left(\begin{array}{c}-1,5\\\frac{1}{3} \end{array}\right)+\left(\begin{array}{c}\sqrt{2}\\\pi\end{array}\right)=\)
d)
\(\left(\begin{array}{c}\frac{1}{2}\sqrt{2}\\5\pi \end{array}\right)-\left(\begin{array}{c}\sqrt{2}\\\pi\end{array}\right)=\)
e)
\(\left(\begin{array}{c}\frac{3}{7}\\\5 \end{array}\right)+\left(\begin{array}{c}\frac{5}{7}\\5 \end{array}\right)-\left(\begin{array}{c}\frac{1}{7}\\\5 \end{array}\right)=\)
f)
\(\left(\begin{array}{c}1\\7\\9 \end{array}\right)+\left(\begin{array}{c}2\\4\\-1 \end{array}\right)=\)
g)
\(\left(\begin{array}{c}100\\71\\92 \end{array}\right)+\left(\begin{array}{c}203\\4\\-119\end{array}\right)=\)
h)
\(\left(\begin{array}{c}12,6\\8,1\\0,3\end{array}\right)-\left(\begin{array}{c}-0,6\\0,9\\\frac{1}{3}\end{array}\right)=\)
| AFB I - K5 | Quelle Torben Würth |