Final answer:
The relationship between Vector A and Vector B can be described by the addition of their corresponding components, Aₓ + Bₓ for the horizontal and Aᵧ + Bᵧ for the vertical, to find the resultant vector's components.
Step-by-step explanation:
The question is asking about the relationship between two vectors, Vector A and Vector B, based on their components. To find the resultant vector, you would add the corresponding components: the x-components and the y-components together. Specifically, the x-components (Ax and Bx) of these vectors would add to give the resultant vector's x-component, while the y-components (Ay and By) add to give the resultant vector's y-component. Consequently, the equation describing the relationship would be the addition of the corresponding components of Vector A and Vector B to get the resultant vector's components.
For example, if Ax = 3m east, Ay = 4m north, the magnitude of Vector A would be calculated using Pythagoras' theorem, not merely by adding the magnitudes. Hence, the resultant vector's magnitude would be sqrt(32 + 42) = 5m, not 3m + 4m. By understanding how to decompose vectors into their horizontal and vertical components and then reconstructing them, we can describe the the vectors' relationship and calculate any resultant vectors needed.