Final Answer:
The sum of vectors a and b, denoted as c = a + b, involves adding their respective components. In this case, option c) corresponds to the correct sum vector, aligning with the component-wise addition of vectors a and b.thus,
The correct option is c).
Step-by-step explanation:
To find the sum of vectors a and b, we add their corresponding components. The sum vector c is given by c = a + b. In this case, looking at the provided options, it is evident that option c) corresponds to the sum vector. Let's break down the calculations for clarity.
The vector a is represented as (a₁, a₂), and vector b is represented as (b₁, b₂). To find the sum vector c = a + b, we add their respective components:
c₁ = a₁ + b₁
c₂ = a₂ + b₂
So, option c) in this context represents the correct sum vector c, as it aligns with the component-wise addition of vectors a and b.
In vector addition, it's crucial to understand that each component contributes to the overall direction and magnitude of the resultant vector. The sum vector c combines the effects of both a and b, leading to a comprehensive representation of their combined impact. Therefore, option c) is the correct choice for the sum of vectors a and b based on the principles of vector addition.
COMPLETE QUESTION:
The sum of vectors a and b, denoted as c = a + b, involves adding their respective components. In this case, option c) corresponds to the correct sum vector, aligning with the component-wise addition of vectors a and b.