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but it is worth going over some properties
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and some may be new and some may be old.
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For the simplest context in which one can motivate a vector
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and also motivate the rules for dealing with vectors,
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is when you look at real space, the coordinates x and y.
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And let's imagine that I went on a camping trip.
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On the first day, here is where I was.
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Then, I tell you I went for 5 km on the second day
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and another 5 km on the third day.
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Then I ask you, "Where am I?
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How far am I from camp?"
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You realize that you cannot answer that.