Selftest: Introduction to vector algebra

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1. Difference between scalars and vectors

Which statements are true?

(multiple answers possible)

	A vector is defined by its magnitude.
	A vector is defined by its direction.
	A vector is defined by its magnitude and its direction.
	All physical quantities are vectors.
→	Explanation: see vector algebra

2. Meaning of vectors

Which of the following physical quantities are vectorial?

(multiple answers possible)

	Time
	Temperature
	Velocity
	Acceleration
	Force
	Air preasure
→	A vectorial quantity is directed, so its magnitude as well as its direction are necessary for its complete description (see vector algebra).

3. Magnitude and direction of vectors

Which of the following vectors have the same magnitude?

Fill in d, e or f in the following input fields.

Vector $\vec{\mathbf{a}}$ and vector have the same magnitude.

Vector $\vec{\mathbf{b}}$ and vector have the same magnitude.

Vector $\vec{\mathbf{c}}$ and vector have the same magnitude.

→ The magnitude of a vector corresponds to its length. For further information see vector algebra.

4. Ortsvektoren, freie und gebundene Vektoren

Lückentext

Fügen Sie die folgenden Wörter ein:

freier Vektor, gebundenen Vektor, Ortsvektor

Ein ändert seine Eigenschaften (Betrag und Richtung) nicht, wenn er parallel zu sich selbst derart verschoben wird, dass sein Anfangspunkt in einen beliebigen Raumpunkt fällt. Wenn die Eigenschaften eines Vektors an einen bestimmten Angriffspunkt gebunden sind, dann spricht man von einem . Einen Vektor, der von einem festen Bezugspunkt auf einen bestimmten Punkt zeigt, bezeichnet man als .

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