Two forces of 5N and 7N respectively act on an object,what are the maximum and minimum resultants of the two vectors

max, when they are in the same direction: 5+7=?

min, when they are in opposite directions: 7-5=?

Max =12

min=-2

To find the maximum and minimum resultants of the two vectors, you need to determine the combination of these vectors that will result in the largest and smallest magnitudes. Here's how you can do it:

1. Maximum Resultant:
To find the maximum resultant, you need to add the two vectors in the same direction. In this case, both forces act in the same direction, so you simply add their magnitudes.
Resultant = 5N + 7N = 12N
Therefore, the maximum resultant is 12 Newtons (N).

2. Minimum Resultant:
To find the minimum resultant, you need to subtract the two vectors. In this case, the forces act in opposite directions.
Resultant = 7N - 5N = 2N
Therefore, the minimum resultant is 2 Newtons (N).

So, the maximum resultant is 12N, and the minimum resultant is 2N.