Learning Objectives:

__Math Tutoring on Vector Fields__

A **Vector** is a quantity with magnitude and direction. Functions that assign a vector to a point on the plane or a point in space are called **Vector Fields.** They are useful for representing various types of **Force Fields **and** Velocity Fields.**

*Definition of a Vector Field in Math Tutoring:*

A **Vector Field** over a region **‘ R’** in a plane or

where **‘ f’** and

A **Vector Field** over a region **‘ V’** in space or

where **‘ f’**,

*Graphing a 2D Vector Field by Hand:*

To graph a **Vector Field** by hand, we need to plot several vectors in the **Vector Field** by selecting **‘ x’** and

Sometimes it is helpful to plot several vectors with the same magnitude. **Graphing Software** is very helpful with plotting **Vector Fields.**

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**Hook Questions:**

*1. **What is Vector Fields? Give the definition of it.*

*2. **How to graph a 2D Vector Field by hand?*

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