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Question

A dog walks 140 m due east and then turns west and runs 65 m. He then turns north and trots 40 m. After completing his journey, he is 85 m northeast of his home. When he hears his master's call, he runs directly home.
Which part of the trip is a negative vector?

A
The eastward leg
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B
The westward leg
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C
The northward leg
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D
The distance from home
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E
The distance to home
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Solution

The correct option is B The westward leg
When dog goes 65 m towards west, he goes against 140 m of east and to get his position now we subtract 65 m from 140 m.
It means we add a positive vector (140 m due east) to a negative vector (65 m due west). That's why westward leg is a negative vector.

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