Difference between revisions of "Selftest: Simple arithmetic operations"
From Robotics
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||The x-components of the two vectors cancel each other. Therefore the sum vector only has an y-component unequal zero. The length is the sum of the two y-components. Further information: see [[Simple arithmetic operations]] | ||The x-components of the two vectors cancel each other. Therefore the sum vector only has an y-component unequal zero. The length is the sum of the two y-components. Further information: see [[Simple arithmetic operations]] | ||
</div> | </div> | ||
− | |||
− | {''' | + | {'''Which of the following vectors forms the sum of <math>\vec{\mathbf{a}}</math> and <math>\vec{\mathbf{b}}</math>?''' |
[[File:Vektorrechnung_Aufgabe6.2.png|200px|thumb|left]] | [[File:Vektorrechnung_Aufgabe6.2.png|200px|thumb|left]] | ||
<div style="float:left;"> | <div style="float:left;"> | ||
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- <math>\begin{pmatrix} 0 \\ -3 \end{pmatrix}</math> | - <math>\begin{pmatrix} 0 \\ -3 \end{pmatrix}</math> | ||
- <math>\begin{pmatrix} -6 \\ 5 \end{pmatrix}</math> | - <math>\begin{pmatrix} -6 \\ 5 \end{pmatrix}</math> | ||
− | || | + | ||Vector <math>\vec{\mathbf{a}}</math> only has an x-component, vector <math>\vec{\mathbf{b}}</math> in contrast only has a y-component. The resulting vector consists of the x-component of <math>\vec{\mathbf{a}}</math> and the y-component of <math>\vec{\mathbf{b}}</math>. Further information: see [[Simple arithmetic operations]] |
</div> | </div> | ||
− | {''' | + | {'''Which of the following vectors forms the sum of <math>\vec{\mathbf{a}}</math> and <math>\vec{\mathbf{b}}</math>?''' |
[[File:Vektorrechnung_Aufgabe6.3.png|200px|thumb|left]] | [[File:Vektorrechnung_Aufgabe6.3.png|200px|thumb|left]] | ||
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+ <math>\begin{pmatrix} 3 \\ 4 \end{pmatrix}</math> | + <math>\begin{pmatrix} 3 \\ 4 \end{pmatrix}</math> | ||
- <math>\begin{pmatrix} -4 \\ 3 \end{pmatrix}</math> | - <math>\begin{pmatrix} -4 \\ 3 \end{pmatrix}</math> | ||
− | || | + | ||The x-component of vector <math>\vec{\mathbf{a}}</math> is directed opposite to the x-component of vector <math>\vec{\mathbf{b}}</math>. |
+ | Daher zieht man die x-Komponenten an dieser Stelle voneinander ab, die y-Komponenten werden wie gehabt aufaddiert. Weitere Erklärung siehe [[Einfache Rechenoperationen mit Vektoren]] | ||
</div> | </div> | ||
Revision as of 15:50, 23 May 2014
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