Are the magnitude and direction of `overset(rarr) A- overset(rarr)B` same as that `overset(rarr)B-overset(rarr)A`?

Explanation

To solve the question of whether the magnitude and direction of the vector \( \vec{A} - \vec{B} \) are the same as that of \( \vec{B} - \vec{A} \), we can follow these steps:

### Step 1: Understand Vector Subtraction
Vector subtraction can be understood as the addition of a negative vector. For example, \( \vec{A} - \vec{B} \) can be rewritten as \( \vec{A} + (-\vec{B}) \).

### Step 2: Analyze the Magnitudes
The magnitude of a vector is always a non-negative quantity. When we compute the magnitudes of \( \vec{A} - \vec{B} \) and \( \vec{B} - \vec{A} \):
- The magnitude of \( \vec{A} - \vec{B} \) is given by \( |\vec{A} - \vec{B}| \).
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