Answer:
50 units
Step-by-step explanation:
Given,
- magnitude of the first vector = a = 30 units
- magnitude of the second vector = 70 units
As we know, From the law of vector addition,
Resultant of the addition of the two vectors is,

where
is the angle between the two vectors
And the value of
lies between -1 ≤
≥ 1.
For the possible values of the addition of the vectors
Therefore maximum possible value for the addition of the vector gives at the value of


Minimum possible value for the addition of the vectors gives at the value of


Hence the possible results of the addition of these two vectors is only 50 units which lies between the 40 units and 100 units.