Vector Field

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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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  • #2
vela
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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.
 
  • #3
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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 [itex]r = | \textbf{r}| = \sqrt{x^2+y^2+z^2}[/itex] (i.e. the length of the vector)?

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

How many vectors are there to draw? (all the combinations of (m,n) such that [itex]m,n=0,\pm 1, \pm 2[/itex] )?
 
  • #4
vela
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I'd assume that's what r means. You could always ask your instructor for clarification.

You should have 24 vectors to draw since m and n can each be one of five values, but you're omitting m=n=0.
 

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