Lab 1 -- Angles in a
Tetrahedron NAME
_______________________
Use vectors to calculate the following angles
in a tetrahedron (pyramid whose base and all sides are equilateral triangles):
a. Angle between an edge and a face.
b. Angle between two faces.
In order for you to compare your work with
other students, you should all set up your figures the same:
Length
of an edge: 2
Base
in the xy-plane with a vertex at the origin and an edge along the positive
x-axis.
You will need to calculate the following
coordinates, and then you can find the required vectors.
All
three vertices of the base. _________________ ________________ ________________
Center
of the edge along the x-axis. _______________
Center
of the base (directly below the top of the tetrahedron). ___________________
Top
of the tetrahedron ___________________
Vectors to be used for part a (Angle between
an edge and a face) ______________
_________________
Angle
in degrees, correct to the nearest hundredth of a degree: ____________
Vectors to be used for part b (Angle between
two faces) __________________
___________________
Angle
in degrees, correct to the nearest hundredth of a degree: ______________
Return to: Merced College; Don Power
Updated 02/13/04 by Don
Power