each vector as a linear combination of the vectors in S. (If not possible S = {(6, 7, 8, 6), (4, 6, 4, 1)} (a) u = (10, 31, -24, -2) )s1 u (b) V = V || 2 4 2 = (41, 75, -10,¹7) ) S₁ + ( (c) W = W = + (-2,-11, 29, 51) 8 )5₁ + ( S1 $2 152 $2 S

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 36E
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Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)
S = {(6, 7, 8, 6), (4, 6, −4, 1)}
(a) u = (10, 31, -24, −2)
) $₁ + (
U =
(b)
V =
(c) W =
W =
(d)
V =
Z =
(41, 75, -10, 17)
4
51 +
29
(-2, -11, 2⁹, 51
S1
z = (8,4, -1, 17)
+
+
)sz
IS2
S2
) $₂
Transcribed Image Text:Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.) S = {(6, 7, 8, 6), (4, 6, −4, 1)} (a) u = (10, 31, -24, −2) ) $₁ + ( U = (b) V = (c) W = W = (d) V = Z = (41, 75, -10, 17) 4 51 + 29 (-2, -11, 2⁹, 51 S1 z = (8,4, -1, 17) + + )sz IS2 S2 ) $₂
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