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## Chapter 5 Vectors, Matrices, Curves, Surfaces, and Motion

### 5.1 Introduction to Vectors

• This section includes definitions, notation, types of vectors including displacement, velocity, zero, unit, equivalent, position, and addition and subtraction of vectors.

Scalars are quantities that represent magnitude and can be described by one number that is positive, negative, or zero. Scalars can be compared with each other when they have the same physical dimensions or units. Examples of scalars include temperature, work, density, and mass.

• A vector represents a quantity that is described by both a numerical value for magnitude (or length) and a direction. A vector is depicted as a line segment with an initial point and a terminal point that has ...

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