Difference between revisions of "Selftest: Simple arithmetic operations"
From Robotics
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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>. | + | ||The x-component of vector <math>\vec{\mathbf{a}}</math> is directed opposite to the x-component of vector <math>\vec{\mathbf{b}}</math>. So the x-components are substracted. The y-components are added as usual. Further information: see [[Simple arithmetic operations]] |
− | |||
</div> | </div> | ||
− | {''' | + | {'''Which of the following vectors forms the substraction <math>\vec{\mathbf{a}}-\vec{\mathbf{b}}</math>?''' |
[[File:Vektorrechnung_Aufgabe7.1.png|200px|left]] | [[File:Vektorrechnung_Aufgabe7.1.png|200px|left]] | ||
<div style="float:left;"> | <div style="float:left;"> | ||
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- <math>\begin{pmatrix} 0 \\ 6 \end{pmatrix}</math> | - <math>\begin{pmatrix} 0 \\ 6 \end{pmatrix}</math> | ||
- <math>\begin{pmatrix} -4,5 \\ 2 \end{pmatrix}</math> | - <math>\begin{pmatrix} -4,5 \\ 2 \end{pmatrix}</math> | ||
− | || | + | || Because the x-components are equal, the resulting x-component is zero. The y-component of the resulting vector is the substraction of the y-components. Further information: see [[Simple arithmetic operations]] |
</div> | </div> | ||
− | {''' | + | {'''Which of the following vectors forms the substraction <math>\vec{\mathbf{a}}-\vec{\mathbf{b}}</math>?''' |
[[File:Vektorrechnung_Aufgabe7.2.png|200px|left]] | [[File:Vektorrechnung_Aufgabe7.2.png|200px|left]] | ||
<div style="float:left;"> | <div style="float:left;"> | ||
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</div> | </div> | ||
− | {''' | + | {'''Which of the following vectors forms the substraction <math>\vec{\mathbf{a}}-\vec{\mathbf{b}}</math>?''' |
[[File:Vektorrechnung_Aufgabe7.3.png|200px|left]] | [[File:Vektorrechnung_Aufgabe7.3.png|200px|left]] | ||
<div style="float:left;"> | <div style="float:left;"> |
Revision as of 15:56, 23 May 2014
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