The magnitudes of two vectors vector A and vector B are 20 units and 5 units, respectively. What are the largest and smallest possible values for the magnitude of the resultant vector vector R = vector A + vector B ?

Question

largest:? units
Smallest:? units

Answer 1

The largest value of A+B is when they act in the same direction, and the resultant is the sum of the magnitudes.
The smallest value of A+B is when they act in opposite directions, and the resultant is the difference of the magnitudes.

Answer 2

25 for smallest

Answer 3

25 largest and 15 for smallest