a. Write the vector (-4,-8, 6) as a linear combination of a₁ (1, -3, -2), a₂ = (-5,–2,5) and ẩ3 = (−1,2,3). Express your answer in terms of the named vectors. Your answershould be in the form 4ả₁ + 5ả₂ + 6ẩ3, which would be entered as 4a1 + 5a2 + 6a3.(-4,-8, 6) =-3a1+a2+2a3b. Represent the vector (-4,-8,6) in terms of the ordered basis = {(1, −3,−2), (-5, -2,5),(-1,2,3)}. Your answer should be a vector of the general form <1,2,3>.[(-4,-8,6)] =

The given vectors and .(a) The aim is to write the vector as a linear combination of the given…

a. Write the vector (-4,-8,6) as a linear combination of a₁ = (1,−3,−2), ẩ₂ = (-5, -2,5) and a3 = (-1,2,3). Express your answer in terms of the named vectors. Your answe should be in the form 4ẩ₁ + 5a₂ + 6a3, which would be entered as 4a1 + 5a2 + 6a3. (-4,-8,6)= -3a1+a2+2a3 b. Represent the vector (-4,-8,6) in terms of the ordered basis = {(1, -3, -2), (-5, -2,5),(-1,2,3)}. Your answer should be a vector of the general form <1,2,3>. [(-4,-8,6)]=

a. Write the vector (-4,-8,6) as a linear combination of a₁ = (1,−3,−2), ẩ₂ = (-5, -2,5) and a3 = (-1,2,3). Express your answer in terms of the named vectors. Your answe should be in the form 4ẩ₁ + 5a₂ + 6a3, which would be entered as 4a1 + 5a2 + 6a3. (-4,-8,6)= -3a1+a2+2a3 b. Represent the vector (-4,-8,6) in terms of the ordered basis = {(1, -3, -2), (-5, -2,5),(-1,2,3)}. Your answer should be a vector of the general form <1,2,3>. [(-4,-8,6)]=

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter8: Applications Of Trigonometry

Section8.3: Vectors

Problem 11E

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