Use the fact that the volume of a tetrahedron with adjacent edges given1u· (v x w)| to determine the volume of6.by the vectors u, v and w isthe tetrahedron with vertices P(-5,5,0), Q(2, 1, –3), R(1,0, 1) andS(3, -2, 3).NOTE: Enter the exact answer.V =

This question is based on finding the adjacent edges of tetrahedron and dot and cross product use.

Use the fact that the volume of a tetrahedron with adjacent edges given 1 by the vectors u, v and w is au. (v x w)| to determine the volume of 6 the tetrahedron with vertices P(-5, 5,0), Q(2,1,–3), R(1,0,1) and S(3, –2, 3). | NOTE: Enter the exact answer. V

Use the fact that the volume of a tetrahedron with adjacent edges given 1 by the vectors u, v and w is au. (v x w)| to determine the volume of 6 the tetrahedron with vertices P(-5, 5,0), 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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Question

Use the fact that the volume of a tetrahedron with adjacent edges given
1
u· (v x w)| to determine the volume of
6.
by the vectors u, v and w is
the tetrahedron with vertices P(-5,5,0), Q(2, 1, –3), R(1,0, 1) and
S(3, -2, 3).
NOTE: Enter the exact answer.
V =

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