### Video Transcript

In the given parallelogram
𝐴𝐵𝐶𝐷, line 𝐴𝐶 intersects line 𝐵𝐷 at 𝑀. 𝐸 is the midpoint of 𝐴𝐵, and 𝐹
is the midpoint of 𝐵𝐶. Complete the following: one-half of
vector 𝐴𝐶 is equivalent to blank.

We remember that when we’re dealing
with vectors, we’re talking about the magnitude and the direction. Vector 𝐴𝐶 is moving in this
direction. We know that point 𝑀 is half the
distance between 𝐴 and 𝐶. Vector 𝐴𝑀 would represent
one-half of vector 𝐴𝐶. Vector 𝐴𝑀 is the only one of the
answer choices that is moving in the same direction as vector 𝐴𝐶.