Find the vectors that satisfy the stated conditions. NOTE: Enter the ezact answers using the provided round brackets.. (a) Oppositely directed to v = (13, –20) and half the length of v. 13 -20 w = 569' /569, (b) Length v2 and same direction as v = (1,0, –3). - w = |(?,?,?)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 15E
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its not 3.

Find the vectors that satisfy the stated conditions.
NOTE: Enter the exact answers using the provided round brackets..
(a) Oppositely directed to v = (13, –20) and half the length of v.
13
-20
w =
V569' V569,
(b) Length v2 and same direction as v =
(1,0, –3).
w = (?,?,?)
Transcribed Image Text:Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provided round brackets.. (a) Oppositely directed to v = (13, –20) and half the length of v. 13 -20 w = V569' V569, (b) Length v2 and same direction as v = (1,0, –3). w = (?,?,?)
Use the fact that the volume of a tetrahedron with adjacent edges given
1
by the vectors u, v and w isu· (v × w)| to determine the volume of
the tetrahedron with vertices P(-4,4,0), Q(2, 1, –3), R(1,0, 1) and
S(3, –2, 3).
NOTE: Enter the exact answer.
V = 3
Transcribed Image Text:Use the fact that the volume of a tetrahedron with adjacent edges given 1 by the vectors u, v and w isu· (v × w)| to determine the volume of the tetrahedron with vertices P(-4,4,0), Q(2, 1, –3), R(1,0, 1) and S(3, –2, 3). NOTE: Enter the exact answer. V = 3
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