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.13-20w =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 given1by the vectors u, v and w isu· (v × w)| to determine the volume ofthe tetrahedron with vertices P(-4,4,0), Q(2, 1, –3), R(1,0, 1) andS(3, –2, 3).NOTE: Enter the exact answer.V = 3

since you have posted multiple question in this question which are not interlinked so i have solved…

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 = |(?,?,?)

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 = |(?,?,?)

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.1: Length And Dot Product In R^n

Problem 17E: Consider the vector v=(1,3,0,4). Find u such that a u has the same direction as v and one-half of...

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Question

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 = (?,?,?)

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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