Here we want to find the possibles magnitudes of the sum of two vectors.
Sadly, the options are not given, so I will give you the range of all the possible magnitudes of the sum of these two vectors.
We will find that any magnitude in the range: 58cm ≤ M ≤ 100cm <u>is a possible magnitude or the resultant vector.</u>
<em>How we can find that range?</em>
What we need to do is find the <u>maximum and minimum.</u>
The minimum is the case where the two <u>displacements are in opposite directions</u>, in that case, the magnitude of the sum will be:
79cm - 21cm = 58cm
The maximum is when<u> both displacements are in the same direction</u>, thus we must add the displacements, then we have:
79cm + 21cm = 100cm
Thus, any magnitude in the range:
58cm ≤ M ≤ 100cm
Is a <u>possible magnitude for the resultant vector.</u>
If you want to learn more, you can read:
brainly.com/question/18449895