Use the fact that the volume of a tetrahedron with adjacent edges given 1 by the vectors u, v and w is |u·(v × w)| to determine the volume of 6. the tetrahedron with vertices P(-5,4,0), Q(2,1, –3), R(1,0, 1) and S(3,-2, 3).

Elementary Linear Algebra (MindTap Course List)
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Chapter5: Inner Product Spaces
Section5.CM: Cumulative Review
Problem 20CM
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Use the fact that the volume of a tetrahedron with adjacent edges given
by the vectors u, v and w is
1
(v x w) to determine the volume of
V
the tetrahedron with vertices P(-5,4,0), Q(2, 1, –3), R(1,0, 1) and
S(3, -2, 3).
NOTE: Enter the exact answer.
V
=4
Transcribed Image Text:Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is 1 (v x w) to determine the volume of V the tetrahedron with vertices P(-5,4,0), Q(2, 1, –3), R(1,0, 1) and S(3, -2, 3). NOTE: Enter the exact answer. V =4
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