Two vectors with magnitudes of 6 meters and 8 meters cannot have a resultant of:

Question

48 meters
14 meters
10 meters
2 meters

Please explain. I do not understand how to figure this out!

Answer 1

The range of possible values goes from the sum of the two magnitudes (14) to the absolute value of the difference (2). Do you see why? Imagine all the possible ways that the two vectors can be added. The greatest result is when they are in the same direction, and the least result is when they are in opposite directions.