The minimum magnitude of a vector is based on the physical concept of magnitude, which is always non-negative. Magnitude represents the "length" or "size" of a vector, and it cannot be negative. So, even though subtraction of magnitudes happens when vectors point in opposite directions, the smallest possible magnitude remains a positive value.

Here's a clarification:

• Maximum Magnitude: When vectors $\mathbf{A}$ and $\mathbf{B}$ point in the same direction, their magnitudes add, giving you $11 \, \text{m}$.

• Minimum Magnitude: When vectors $\mathbf{A}$ and $\mathbf{B}$ point in exactly opposite directions, their magnitudes subtract. However, the result is the absolute value of this subtraction, which is $5 \, \text{m}$, not negative.

In vector addition, the resultant vector's magnitude cannot be negative; it can only be zero or a positive value.

Does that clear things up? If you have any more doubts or further questions, feel free to ask!

Here are five related questions:

1. What is the physical interpretation of a vector with zero magnitude?
2. How would you represent vector subtraction graphically?
3. Can two vectors with the same magnitude have different resultant magnitudes? If so, how?
4. How would you calculate the resultant magnitude if the angle between the vectors is neither 0 nor 180 degrees?
5. What real-life scenarios involve vector subtraction?

Tip: Always remember that vector magnitudes are non-negative. Even if they are in opposite directions, the resultant magnitude is the absolute difference.