**Minimum Number of Coplanar Vectors with Zero Resultant**

To determine the minimum number of coplanar vectors with different magnitudes that can add up to zero resultant, we need to understand the concept of vector addition and cancellation.

**Vector Addition and Cancellation:**
When vectors are added together, their magnitudes and directions are taken into account. Vector addition is commutative, which means the order in which the vectors are added does not matter. However, when vectors are added together, they can cancel each other out if they have opposite directions and equal magnitudes.

**Zero Resultant:**
A zero resultant occurs when the sum of all vectors is equal to zero. In other words, the vectors effectively cancel each other out, resulting in no net movement or force. To achieve a zero resultant, the magnitudes and directions of the vectors must be carefully chosen.

**Minimum Number of Coplanar Vectors:**
To determine the minimum number of coplanar vectors required to produce a zero resultant, we need to consider the concept of vector cancellation.

When two vectors are added together, they can cancel each other out if they have the same magnitude but opposite directions. Therefore, the minimum number of coplanar vectors required to produce a zero resultant is **two**.

**Explanation:**
Let's consider two vectors, A and B, with the same magnitude but opposite directions. Vector A has a magnitude of 3 units and is directed to the right, while vector B has a magnitude of 3 units and is directed to the left. When these two vectors are added together, they effectively cancel each other out, resulting in a zero resultant.

If we introduce a third vector, C, with a magnitude different from A and B, it will not be possible to achieve a zero resultant. This is because the addition of vectors A, B, and C will always result in a nonzero resultant due to the different magnitudes involved.

Therefore, the minimum number of coplanar vectors with different magnitudes required to produce a zero resultant is two. Adding any additional vectors will result in a nonzero resultant.