1. Vectors and scalars





Even though we have said that all vectors have length and direction, there is one exception: the zero vector. The zero vector 0 is the vector from a point A to the same point A. We can write 0 = no matter where the point A is. The zero vector does not have a direction but it does have a length; not surprisingly, its length is 0. Thus we can write 0 = 0.
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