angle between line and plane
The angle between a line and a plane is defined as the least possible angle between and a line contained by .
It is apparent that satisfies always .
Let the plane be given by the equation (http://planetmath.org/EquationOfPlane) , i.e. its normal vector has the components . Let a direction vector of the line have the components . Then the angle between and is obtained from the equation
Example. Consider the -plane and the line through the origin and the point . We can use the components for the direction vector of and the components for the normal vector of the plane. We have
|Title||angle between line and plane|
|Date of creation||2013-03-22 17:30:14|
|Last modified on||2013-03-22 17:30:14|
|Last modified by||pahio (2872)|
|Defines||angle between plane and line|