Final answer:
The sum of two vectors can be minimum or maximum based on the angle between the vectors and their directions.
Step-by-step explanation:
When finding the sum of two vectors, the result can be minimum or maximum based on the angle between the vectors. The sum will be minimum when the vectors are parallel and have the same direction. In this case, the magnitude of the sum will be equal to the difference between their magnitudes.
On the other hand, the sum will be maximum when the vectors are anti-parallel and have opposite directions. In this case, the magnitude of the sum will be equal to the sum of their magnitudes.
For example, if Vector A has a magnitude of 3 units and Vector B has a magnitude of 4 units, the minimum sum will be when they are parallel, resulting in a magnitude of 1 unit. The maximum sum will be when they are anti-parallel, resulting in a magnitude of 7 units.