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Sammy
Posts:
3
From:
Toronto, Ontario, Canada
Registered:
3/4/06


A few tetrahedron (in 3 space) questions
Posted:
Mar 4, 2006 6:58 PM


I'm not sure if i'm posting in the proper place  i needed some help with a question
The four vertices of the tetrahedron (0,0,0) (1,1,0) (1,0,1) and (0,1,1)
1. verify that the four points listed are all equidistant from each other. I'm sure if you find the lengths of all the sides this could show that all points are equal distances from each other.
2. Find the centre of the given regular tetrahedron?
This is the question i'm having trouble with  i know that the three coordinates are all equal and the centre is the same distance from each of the verticies. (but i'm not sure where to go from there?
3.use the dot product methods to find the angle formed between any two vectors extending from the centre of the regular tetrahedron to two of its vertices.
huh?
I'd appreciate any help  or advice on how i should approach this problem. THANKS !



