Answer: The correct option is (B). 
True. The vector V₃ is a linear combination of V₁ and V₂, so at least one of the vectors in the set is a linear combination of the others and set is linearly dependent.  
Step-by-step explanation:   
Given that; 
If V₁ ....... V₄ are in R⁴ and V₃ = 2V₁ + V₂ then {V₁, V₂, V₃, V₄} is linearly dependent.  
Lets {V₁, V₂, V₃, V₄}  are linearly dependent 
Then there exist a scalars C₁, C₂, C₃, C₄ 
So that C₁V₁ + C₂V₂ + C₃V₃ + C₄V₄ = 0 
where at least one of the Ci ≠ 0.  
Take C₃ ≠  0 then we have V₃ = (C₁V₁ + C₂V₂ + C₄V₄) / C₃ 
V₃ is a linear combination of V₁, V₂ and V₄}
that is 
Given V₃ = 2V₁ + V₂ 
⇒ 2V₁ + V₂ - V₃ = 0 
⇒ 2V₁ + V₂ + V₃ + 0V₃ = 0 
Here, C₁ = 1, C₂ = 1,  C₃ = -1 and C₄ = 0 
So that {V₁, V₂, V₃, V₄} is linearly dependent. 
therefore option B id the right answer.
- True. The vector V₃ is a linear combination of V₁ and V₂, so at least one of the vectors in the set is a linear combination of the others and set is linearly dependent.