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School of Mathematics and Statistics, The University of Sydney
 1. Vectors and scalars
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The zero vector

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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 = -A-->A 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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