Difference between revisions of "Selftest: Simple arithmetic operations"
From Robotics
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- For the calculation of the difference vector <math>\vec{\mathbf{a}}-\vec{\mathbf{b}}</math> first the vector <math>-\vec{\mathbf{a}}</math> is formed by inverting the direction of <math>\vec{\mathbf{a}}</math>. | - For the calculation of the difference vector <math>\vec{\mathbf{a}}-\vec{\mathbf{b}}</math> first the vector <math>-\vec{\mathbf{a}}</math> is formed by inverting the direction of <math>\vec{\mathbf{a}}</math>. | ||
- For the calculation of the difference vector <math>\vec{\mathbf{a}}-\vec{\mathbf{b}}</math> first the vector <math>-\vec{\mathbf{b}}</math> is formed by inverting the direction of <math>\vec{\mathbf{a}}</math>. | - For the calculation of the difference vector <math>\vec{\mathbf{a}}-\vec{\mathbf{b}}</math> first the vector <math>-\vec{\mathbf{b}}</math> is formed by inverting the direction of <math>\vec{\mathbf{a}}</math>. | ||
− | + For the calculation of the difference vector <math>\vec{\mathbf{a}}-\vec{\mathbf{b}}</math> first the vector <math>-\vec{\mathbf{b}}</math>is formed by inverting the direction of <math>\vec{\mathbf{b}}</math>. | + | + For the calculation of the difference vector <math>\vec{\mathbf{a}}-\vec{\mathbf{b}}</math> first the vector <math>-\vec{\mathbf{b}}</math> is formed by inverting the direction of <math>\vec{\mathbf{b}}</math>. |
||The substraction of vectors can be traced back to vector addition because <math>\vec{\mathbf{a}}-\vec{\mathbf{b}}=\vec{\mathbf{a}}+(-\vec{\mathbf{b}})</math>. Further information: see [[Simple arithmetic operations]] [[File:Vectoralgebra_addition_substraction.png|300px|left|Vector substraction]] | ||The substraction of vectors can be traced back to vector addition because <math>\vec{\mathbf{a}}-\vec{\mathbf{b}}=\vec{\mathbf{a}}+(-\vec{\mathbf{b}})</math>. Further information: see [[Simple arithmetic operations]] [[File:Vectoralgebra_addition_substraction.png|300px|left|Vector substraction]] | ||
− | {'''Fill-in-the- | + | {'''Fill-in-the-blank text:''' |
− | + | Fill in the following words: | |
− | ''negative | + | ''negative value, same direction, zero vector, factor'' |
| type="{}" } | | type="{}" } | ||
− | + | Multiplying a vector <math>\vec{\mathbf{a}}</math> by a real value ''p'' results in a vector <math>\vec{\mathbf{a}}p</math> with { same direction } and different magnitude, that has changed with { factor } <math>{p}</math>. If the resulting vector <math>\vec{\mathbf{a}}</math> has an oppsite direction, so handelt es sich um eine { negative Zahl }. Für den Sonderfall ''p=0'' erhält man einen { Nullvektor }. | |
</quiz> | </quiz> | ||
Revision as of 16:13, 23 May 2014
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