# Vector Field

## Homework Statement

[PLAIN]http://img84.imageshack.us/img84/5273/questionm.png [Broken]

## The Attempt at a Solution

How do I go about plotting this?

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vela
Staff Emeritus
Homework Helper
At each point in the xy-plane, draw a vector with its tail on the point. For example, for the point r=(1,0,0), you have F(r)=(1,0,0), so you'd draw an arrow that starts at r and extends one unit horizontally to the right.

At each point in the xy-plane, draw a vector with its tail on the point. For example, for the point r=(1,0,0), you have F(r)=(1,0,0), so you'd draw an arrow that starts at r and extends one unit horizontally to the right.
Does $r = | \textbf{r}| = \sqrt{x^2+y^2+z^2}$ (i.e. the length of the vector)?

So for e.g. $\textbf{r} = (2,1,0)$ does $r=\sqrt{5}$ and so $\textbf{F}(\textbf{r}) = (\frac{2}{\sqrt{5}} , \frac{1}{\sqrt{5}} , 0)$ ?

How many vectors are there to draw? (all the combinations of (m,n) such that $m,n=0,\pm 1, \pm 2$ )?

vela
Staff Emeritus