Q-4: a) Determine whether the following set of vectors in R³ is linearly independent. If not, find non-trivial weights C1, C2, and 3 such that c₁V₁ + C₂ V₂ + C3 V3 = 0. S = {(1,2,3), (4,5,6), (2,1,0)}. b) Determine whether the vector u = (8,7,-2) is a linear combination of the vectors v₁ = (1,2,0), v₂ = (0,2,1) and v3 = (−3,9,5). And if so, find the weights c₁, C₂, and c³ = such that u C₁₁ + C₂ V₂ + C3V3.

Q-4: a) Determine whether the following set of vectors in R³ is linearly independent. If not, find non-trivial weights C1, C2, and 3 such that c₁V₁ + C₂ V₂ + C3 V3 = 0. S = {(1,2,3), (4,5,6), (2,1,0)}. b) Determine whether the vector u = (8,7,-2) is a linear combination of the vectors v₁ = (1,2,0), v₂ = (0,2,1) and v3 = (−3,9,5). And if so, find the weights c₁, C₂, and c³ = such that u C₁₁ + C₂ V₂ + C3V3.

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Additional Topics In Trigonometry

Section3.3: Vectors In The Plane

Problem 7ECP

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