6. a. Show that the vector á of b = (3, 1, 4) and ở = (1, 2, –3). (1, 12, –29) can be written as a linear combination b. Determine whether 7 = (16, 11, –24) can be written as a linear combina- tion of p = (-2, 3, 4) and ở = (4, 1, –6). Explain the significance of your result geometrically.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 32E
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6. a. Show that the vector å = (1, 12, –29) can be written as a linear combination
of b = (3, 1, 4) and ở = (1, 2, –3).
b. Determine whether 7 = (16, 11, –24) can be written as a linear combina-
tion of p = (-2, 3, 4) and ở = (4, 1, –6). Explain the significance of your
result geometrically.
Transcribed Image Text:6. a. Show that the vector å = (1, 12, –29) can be written as a linear combination of b = (3, 1, 4) and ở = (1, 2, –3). b. Determine whether 7 = (16, 11, –24) can be written as a linear combina- tion of p = (-2, 3, 4) and ở = (4, 1, –6). Explain the significance of your result geometrically.
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