Video: Identifying Equivalent Vectors in a Figure

In the given parallelogram 𝐴𝐡𝐢𝐷, line 𝐴𝐢 β‹‚ line 𝐡𝐷 = {𝑀}, 𝐸 is the midpoint of 𝐴𝐡, and 𝐹 is the midpoint of 𝐡𝐢. Complete the following: 1/2 of vector 𝐴𝐢 is equivalent to οΌΏ.

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Video Transcript

In the given parallelogram 𝐴𝐡𝐢𝐷, line 𝐴𝐢 intersects line 𝐡𝐷 at 𝑀. 𝐸 is the midpoint of 𝐴𝐡, and 𝐹 is the midpoint of 𝐡𝐢. Complete the following: one-half of vector 𝐴𝐢 is equivalent to blank.

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

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