Video: Identifying Equivalent Vectors in a Figure

Kathryn Kingham

In the given parallelogram 𝐴𝐵𝐶𝐷, line 𝐴𝐶 ⋂ line 𝐵𝐷 = {𝑀}, 𝐸 is the midpoint of 𝐴𝐵, and 𝐹 is the midpoint of 𝐵𝐶. Complete the following: 1/2 of vector 𝐴𝐶 is equivalent to _.

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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.

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