The magnitudes of displacemwent `veca and vecb` are 3 m anad 4m, respectively, and `vecc = veca + vecb.` Considering various orientations of `veca and vecb,` what are (a) the maximum possible magnitude for `vecc and (b)` the minimum possible magnitude ?

Explanation

To solve the problem, we need to find the maximum and minimum possible magnitudes of the resultant vector \( \vec{c} = \vec{a} + \vec{b} \), given the magnitudes of \( \vec{a} \) and \( \vec{b} \).

### Step-by-Step Solution:

1. **Identify the Magnitudes of Vectors**:
- The magnitude of vector \( \vec{a} \) is given as \( |\vec{a}| = 3 \, \text{m} \).
- The magnitude of vector \( \vec{b} \) is given as \( |\vec{b}| = 4 \, \text{m} \).

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