a. Write the vector (14, 12, -14) as a linear combination of d₁ = (-1, -3, -3), d₂ = (4,1,-4) and d3= (-2,1, -2). Express your answer in terms of the named vectors. Your answer should be inthe form 4a1 + 5a2 + 6ả3, which would be entered as 4a1 + 5a2 + 6a3.(14, 12, -14) =b. Represent the vector (14, 12, -14) in terms of the ordered basis B = {(-1,-3,-3), (4, 1,-4), (-2, 1, -2)}. Your answer should be a vector of the general form <1,2,3>.[(14, 12, -14)]B=

We will construct linear combination then solve by matrix operations.

a. Write the vector (14, 12, -14) as a linear combination of d₁ = (-1,-3,-3). d₂ = (4,1,-4) and d3= (-2,1,-2). Express your answer in terms of the named vectors. Your answer should be in the form 4a1 +502 +663, which would be entered as 4a1 + 5a2 + 6a3. (14, 12, -14) - b. Represent the vector (14, 12, -14) in terms of the ordered basis B = {(-1,-3,-3), (4, 1,-4), (-2, 1,-2)}. Your answer should be a vector of the general form <1,2,3>. [(14, 12, -14)]B=

a. Write the vector (14, 12, -14) as a linear combination of d₁ = (-1,-3,-3). d₂ = (4,1,-4) and d3= (-2,1,-2). Express your answer in terms of the named vectors. Your answer should be in the form 4a1 +502 +663, which would be entered as 4a1 + 5a2 + 6a3. (14, 12, -14) - b. Represent the vector (14, 12, -14) in terms of the ordered basis B = {(-1,-3,-3), (4, 1,-4), (-2, 1,-2)}. Your answer should be a vector of the general form <1,2,3>. [(14, 12, -14)]B=

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Additional Topics In Trigonometry

Section: Chapter Questions

Problem 33CT

See similar textbooks