angle between two planes
The quotient in the formula remains unchanged as one multiplies the normal vectors by some non-zero real numbers, so that the cosine is independent of the lengths of the chosen vectors. Therefore, there is no ambiguity in this definition.
Generalization. The above definition can be generalized, at least locally, to a pair of intersecting differentiable surfaces in . Given two differentiable surfaces and and a point , the angle between and at is defined to be the angle between the tangent planes and .
|Title||angle between two planes|
|Date of creation||2013-03-22 16:19:41|
|Last modified on||2013-03-22 16:19:41|
|Last modified by||CWoo (3771)|
|Synonym||angle between planes|
|Defines||angle between differentiable surfaces|