MATH2310 – MVC Lecture 6
Vector fields in 2D:
A vector field is a function whose domain is in R2 or R3 and whose range is a set of
vectors.
We visualise vector fields by drawing arrows representing the vectors F (x , y ),
starting at the point (x , y ).
Although it is impossible to do this for all points, we can gain a reasonable
impression of F by drawing some points.
For example:
Vector fields in 3D:
Vector fields can also be plotted in R3, in the same way as they would be plotted in
2
R.
For example:
Vector fields in 2D:
A vector field is a function whose domain is in R2 or R3 and whose range is a set of
vectors.
We visualise vector fields by drawing arrows representing the vectors F (x , y ),
starting at the point (x , y ).
Although it is impossible to do this for all points, we can gain a reasonable
impression of F by drawing some points.
For example:
Vector fields in 3D:
Vector fields can also be plotted in R3, in the same way as they would be plotted in
2
R.
For example:
