max and min resultants?

[brittbratt117]

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

what is the maximum possible resultant of two vectors with magnitudes of 4 and 5 units? what is the minium possible resultant?


2. Relevant equations



3. The attempt at a solution

so i think that the max resultant would be 9 units and the minium resultant would be 4 units?

[berkeman]

max=9 is correct, because that is when they line up parallel and add. The minimum is not 4, though. How could you line up the two vectors to get a smaller result?

[mgb_phys]

Max is correct. Min is wrong,
If you moved 5 units in one direction and 4 in another, how close could you get to the starting point?

[brittbratt117]

so if you went up 5 then back down four that would leave you with one?

[mgb_phys]

Correct

[brittbratt117]

yay thanks :)