Mathematics-Online course: Vector Calculus-Scalar Product-Angle

	[home] [lexicon] [problems] [tests] [courses] [auxiliaries] [notes] [staff]
	Mathematics-Online course: Vector Calculus - Scalar Product
	Angle

[previous page] [next page]

[table of contents][page overview]

Given two vectors $\vec{a},\vec{b}\ne\vec{0}$ . The associated arrows, attached with their tails to a given point (vertex), form two angels of which the smaller one is denoted by

$\displaystyle \sphericalangle(\vec{a},\vec{b}) \in [0,\pi]\,.$

$\includegraphics[width=.3\linewidth]{a_winkel}$

The two vectors are called orthogonal, $\vec{a}\perp\vec{b}$ , if the angle between them equals $\pi/2$ . By convention, the zero vector is orthogonal to every vector.

The following figure illustrates some typical cases.

$\includegraphics[width=.4\linewidth]{bsp_winkel}$

$\includegraphics[width=.4\linewidth]{bsp_winkel2}$

$\includegraphics[width=.4\linewidth]{bsp_winkel3}$

$\includegraphics[width=.4\linewidth]{bsp_winkel4}$

[previous page] [next page]

[table of contents][page overview]

automatically generated 10/30/2007