# A vector of magnitude 20 is added to a vector of magnitude 25.

1. Aug 29, 2011

### 1MileCrash

1. The problem statement, all variables and given/known data

A vector of magnitude 20 is added to a vector of magnitude 25. What could the magnitude of the sum be?

2. Relevant equations

3. The attempt at a solution

I am given a list of choices. But, it seems to me like it could be just about anything, because I have no idea what the direction of both vectors are. Can anyone give me a place to start?

2. Aug 29, 2011

### Pengwuino

Well, the best I can say is that there does exist a minimum magnitude the resultant vector could be and a maximum. Unless all but 1 answer is outside of this range, you would need more information.

3. Aug 29, 2011

### 1MileCrash

True. If I assume they are in the exact same direction, I can have 45, which is the max. If I assume they are directly opposing, I get 5 as a minimum.

My choices are 50, 47, 3, 0, and 12. So it would seem 12 is correct?

4. Aug 29, 2011

### Pengwuino

Yes, that is the only value that could possibly be attained by adding vectors with those magnitudes.