Difference between revisions of "Selftest: Unit vector"

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{{ExerciseNavigation|previous=[[Selftest:Introduction to vector algebra|Introduction to vector algebra]]|article=[[Vector algebra]]|next=[[Selftest:Simple arithmetic operations|Simple arithmetic operations]]}}
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{{ExerciseNavigation|previous=[[Selftest:Introduction to vector algebra|Introduction to vector algebra]]|chapter=[[Vector algebra]]|article=[[Unit vector]]|next=[[Selftest:Simple arithmetic operations|Simple arithmetic operations]]}}
  
 
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Revision as of 15:40, 18 June 2014

← Previous exercise: Introduction to vector algebra Exercises for chapter Vector algebra | Article: Unit vector Next exercise: Simple arithmetic operations →

1. Which of the following figures shows a correct labeling?

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.

Vektorrechnung aufgabe5.3.png
→Wrong:The magnitude of the vector is \frac{1}{2} . Unit vectors have a length of 1 (see unit vectors).
Vektorrechnung aufgabe5.1.png
→Correct:Here the unit vector has length 1 and both vectors point in the same direction.
Vektorrechnung aufgabe5.2.png
→Wrong:In this figure the labels of vector \vec{\mathbf{a}} and the unit vector \vec{\mathbf{e}}_a are interchanged. Hence the vector \vec{\mathbf{a}} 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.
Vektorrechnung aufgabe5.4.png
→Correct:Here the unit vector has length 1 and both vectors point in the same direction.

Your score is 0 / 0
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