Appendix 2: A Primer of Vectors and Vector Spaces

Vectors

A **vector** is a quantity that is determined by its magnitude and direction. A **scalar** is a quantity that is determined by its magnitude. A vector in ^{2} or in ^{3} can be represented by a line whose length is a measure of the **magnitude** (or **length)** of the vector and whose direction is the same as that of the vector. A vector **represented** by a line segment from *A* to *B* is often written as .

In ^{2} the vectors ...

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