You're asking a great question! It's about understanding how vector addition works. Here's the breakdown:

The sum of two vectors CAN be equal to either of the original vectors.

Here's why:

* Zero Vector: If one of the vectors is the zero vector (a vector with magnitude 0), then the sum will be equal to the other vector.

* Example: Vector A = (3, 4) and Vector B = (0, 0). The sum A + B = (3, 4) which is equal to Vector A.

* Opposite Vectors: If two vectors have the same magnitude but point in opposite directions, their sum will be the zero vector.

* Example: Vector A = (2, 3) and Vector B = (-2, -3). The sum A + B = (0, 0) which is the zero vector.

Important Note:

* Vector Addition: Vectors are added head-to-tail. The sum (or resultant vector) is the vector drawn from the tail of the first vector to the head of the second vector.

Let me know if you'd like to see a diagram to illustrate this!