Explanation:
Vectors are directed physical quantity which also have a magnitude.
When two vectors add,
there are two extreme cases.
Case 1:When both the vectors are in same direction.
In this case,the magnitude is maximum.
The magnitude is given by the sum of individual magnitudes which is [tex]2+3=5[/tex].
The maximum possible magnitude is [tex]5[/tex].
Case 2:When both the vectors are in opposite direction.
In this case,the magnitude is minimum.
The magnitude is given by the absolute difference of individual magnitudes which is [tex]3-2=1[/tex].
The minimum possible magnitude is [tex]1[/tex].