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Question Video: Identifying Equivalent Vectors in a Figure Mathematics • 12th Grade

In the given parallelogram ๐ด๐ต๐ถ๐ท, line ๐ด๐ถ โ‹‚ line ๐ต๐ท = {๐‘€}, ๐ธ is the midpoint of ๐ด๐ต, and ๐น is the midpoint of ๐ต๐ถ. Complete the following: 1/2 of vector ๐ด๐ถ is equivalent to ๏ผฟ.

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Video Transcript

In the given parallelogram ๐ด๐ต๐ถ๐ท, line ๐ด๐ถ intersects line ๐ต๐ท at ๐‘€. ๐ธ is the midpoint of ๐ด๐ต, and ๐น is the midpoint of ๐ต๐ถ. Complete the following: one-half of vector ๐ด๐ถ is equivalent to blank.

We remember that when weโ€™re dealing with vectors, weโ€™re talking about the magnitude and the direction. Vector ๐ด๐ถ is moving in this direction. We know that point ๐‘€ is half the distance between ๐ด and ๐ถ. Vector ๐ด๐‘€ would represent one-half of vector ๐ด๐ถ. Vector ๐ด๐‘€ is the only one of the answer choices that is moving in the same direction as vector ๐ด๐ถ.

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