To complete the sentence "AB ---- BC" with the corresponding vector, we need to consider the properties of vectors. In this case, we know that vector addition follows the triangle rule, meaning that the sum of two vectors should form the third side of a triangle.
Given that "AB" and "BC" are vectors, the vector that completes the equation would be "AC." Therefore, the correct completion of the sentence would be "AB + AC = BC."
This relationship follows the concept of vector addition, where the resultant vector of adding two vectors is equivalent to the third side of a triangle formed by those vectors.