Difference between revisions of "Selftest: Unit vector"
From Robotics
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''Here you have to regard the correct labeling and assignment of the vector and the unit vector and also the magnitude of the unit vector.''} | ''Here you have to regard the correct labeling and assignment of the vector and the unit vector and also the magnitude of the unit vector.''} | ||
| − | - [[File:Vektorrechnung_aufgabe5.3.png|300px | + | - [[File:Vektorrechnung_aufgabe5.3.png|300px|left]] |
||'''Wrong''':The magnitude of the vector is <math>\frac{1}{2} </math>. Unit vectors have a length of 1 (see [[Unit vectors|unit vectors]]). | ||'''Wrong''':The magnitude of the vector is <math>\frac{1}{2} </math>. Unit vectors have a length of 1 (see [[Unit vectors|unit vectors]]). | ||
| − | + [[File:Vektorrechnung_aufgabe5.1.png|300px | + | + [[File:Vektorrechnung_aufgabe5.1.png|300px|left]] |
||'''Correct''':Here the unit vector has length 1 and both vectors point in the same direction. | ||'''Correct''':Here the unit vector has length 1 and both vectors point in the same direction. | ||
| − | - [[File:Vektorrechnung_aufgabe5.2.png|300px | + | - [[File:Vektorrechnung_aufgabe5.2.png|300px|left]] |
||'''Wrong''':In this figure the labels of vector <math>\vec{\mathbf{a}}</math> and the unit vector <math>\vec{\mathbf{e}}_a</math> are interchanged. Hence the vector <math>\vec{\mathbf{a}}</math> would always have length 1. But this is not generalizable. Furthermore a unit vector is not formed by multiplying the direction with a scalar, because it has always length 1. For further description please have a look at the article about [[unit vectors|unit vectors]]. | ||'''Wrong''':In this figure the labels of vector <math>\vec{\mathbf{a}}</math> and the unit vector <math>\vec{\mathbf{e}}_a</math> are interchanged. Hence the vector <math>\vec{\mathbf{a}}</math> would always have length 1. But this is not generalizable. Furthermore a unit vector is not formed by multiplying the direction with a scalar, because it has always length 1. For further description please have a look at the article about [[unit vectors|unit vectors]]. | ||
| − | +[[File:Vektorrechnung_aufgabe5.4.png|300px | + | +[[File:Vektorrechnung_aufgabe5.4.png|300px|left]] |
||'''Correct''':Here the unit vector has length 1 and both vectors point in the same direction. | ||'''Correct''':Here the unit vector has length 1 and both vectors point in the same direction. | ||
Revision as of 15:51, 23 May 2014
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