Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.) S = {(2, –1, 3), (5, 0, 4)} z = (7, -6, 14) 14(2, – 1,3) )s, + (| 7(5,0,4) |)s2 Z = (b) v =|8, v-((2.-13) | ),.(를(3,0.4) V = (c) w = (3, -9, 15) ( 9(2, – 1,3) )s, + (| (-3)(5,0,4) )s2 W = u = (2, 1, –1) ( IMPOSSIBLE s, + ( IMPOSSIBLE (d) 52 u =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 27E
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Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)
S = {(2, –1, 3), (5, 0, 4)}
(a) z = (7, -6, 14)
(| 14(2, – 1,3)|s, +
7(5,0,4) )s2
Z =
v-(.-)
글 (2.-1.3)| ) + (을(3,0.4) | )-
1 27
(b)
= [8,
4
4
응(5,0.4)
V =
(c)
w = (3, -9, 15)
(9(2, – 1,3)s, +
(-3)(5,0,4)| )s2
W =
(d) u = (2, 1, -1)
(IMPOSSIBLE
s, + ( IMPOSSIBLE
u =
Transcribed Image Text:Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.) S = {(2, –1, 3), (5, 0, 4)} (a) z = (7, -6, 14) (| 14(2, – 1,3)|s, + 7(5,0,4) )s2 Z = v-(.-) 글 (2.-1.3)| ) + (을(3,0.4) | )- 1 27 (b) = [8, 4 4 응(5,0.4) V = (c) w = (3, -9, 15) (9(2, – 1,3)s, + (-3)(5,0,4)| )s2 W = (d) u = (2, 1, -1) (IMPOSSIBLE s, + ( IMPOSSIBLE u =
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