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 2D –
where ‘f’ and ‘g’ are continuous over ‘R’.
A Vector Field over a region ‘V’ in space or 3D –
where ‘f’, ‘g’ and ‘h’ are continuous over ‘V’.
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 ‘y’ values in the coordinate plane.
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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1. What is Vector Fields? Give the definition of it.
2. How to graph a 2D Vector Field by hand?
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