[home] [lexicon] [problems] [tests] [courses] [auxiliaries] [notes] [staff] | ||

Mathematik-Online problems: | ||

## Problem 15: Intersections and Distances of Lines and Planes |

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z |

The points , and define a plane in .

**a)**- Find the Hessian normal form of .
**b)**- Find a parameter representation of the line through the point , which is orthogonal to .
**c)**- What's the distance between and ?
**d)**- What's the angle between and the plane ?
**e)**- The line

intersects with in a point . Find and the image line of by reflection about . **f)**- What's the distance between and ?

(Authors: Kimmerle/Roggenkamp/Höfert)

**see also:**

automatisch erstellt am 9. 5. 2008 |