# Selftest: Unit vector

From Robotics

← Previous exercise: Introduction to vector algebra |
Exercises for chapter Vector algebra | Article: Unit vectors |
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.*

→ | Wrong:The magnitude of the vector is . Unit vectors have a length of 1 (see unit vectors). | ||||||||||||

→ | Correct:Here the unit vector has length 1 and both vectors point in the same direction. | ||||||||||||

→ | Wrong:In this figure the labels of vector and the unit vector are interchanged. Hence the vector 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. | ||||||||||||

→ | Correct:Here the unit vector has length 1 and both vectors point in the same direction. |