a. Write the vector (-6, 6, 0) as a linear combination of ā = (3, 1, –1), az = (3, –2,1) and āz = (0, 2, –3). Express your answer in terms of the named vectors. Your answer should be in the form 4a1 + 5a2 + 6ã3, which would be entered as 4a1 + 5a2 + 6a3. (-6, 6, 0) b. Represent the vector (-6, 6,0) in terms of the ordered basis B = of the general form <1,2,3>. {(3, 1, –1), (3, –2, 1), (0, 2, –3)}. Your answer should be a vector [(-6, 6, 0)]

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 12E
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a. Write the vector (-6, 6, 0) as a linear combination of ā = (3, 1, –1), az = (3, –2,1) and āz = (0, 2, –3). Express your answer in
terms of the named vectors. Your answer should be in the form 4a1 + 5a2 + 6ã3, which would be entered as 4a1 + 5a2 + 6a3.
(-6, 6, 0)
b. Represent the vector (-6, 6,0) in terms of the ordered basis B =
of the general form <1,2,3>.
{(3, 1, –1), (3, – 2, 1), (0, 2, –3)}. Your answer should be a vector
[(-6, 6, 0)] :
Transcribed Image Text:a. Write the vector (-6, 6, 0) as a linear combination of ā = (3, 1, –1), az = (3, –2,1) and āz = (0, 2, –3). Express your answer in terms of the named vectors. Your answer should be in the form 4a1 + 5a2 + 6ã3, which would be entered as 4a1 + 5a2 + 6a3. (-6, 6, 0) b. Represent the vector (-6, 6,0) in terms of the ordered basis B = of the general form <1,2,3>. {(3, 1, –1), (3, – 2, 1), (0, 2, –3)}. Your answer should be a vector [(-6, 6, 0)] :
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