Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is 1 Ju · (v x w)| to determine the volume of the tetrahedron with vertices P(-6,2,0), Q(2, 1, –3), R(1,0, 1) and S(3, –2, 3). NOTE: Enter the exact answer. V =

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 38E: Find the exact volume of the solid that results when the triangular region with vertices at 0, 0, 6,...
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Use the fact that the volume of a tetrahedron with adjacent edges given
1
by the vectors u, v and w is u· (v x w)| to determine the volume of
the tetrahedron with vertices P(-6,2,0), Q(2, 1, –3), R(1,0,1) and
S(3, –2, 3).
NOTE: Enter the exact answer.
V :
%3D
Transcribed Image Text:Use the fact that the volume of a tetrahedron with adjacent edges given 1 by the vectors u, v and w is u· (v x w)| to determine the volume of the tetrahedron with vertices P(-6,2,0), Q(2, 1, –3), R(1,0,1) and S(3, –2, 3). NOTE: Enter the exact answer. V : %3D
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