F(x,y,z)=xi+yj+zk Match the vector fields F with the plots. I picked IV because x y and z were all 1 unit, but if it wasn't for the process of elimination, I wouldn't have been able to figure it out. Please help
I figured since IV is the only figure where x=1 y=1 and z=1, it must be the right match.
Looks like it would be II. They would be branching out in all directions because they all have the same coefficient, 1
it seems like the length of the arrows are changing in II
That's just the way it's viewed. IV can't be correct because the arrows are pointed in a single direction, but all the coefficients are the same, so that can't happen.
Try this: http://www.slu.edu/classes/maymk/banchoff/VectorField.html you can view and navigate through each vector field
so is the origin in the center of the box...I don't seem to be able to connect the box to this |dw:1342310890161:dw|
to make a connection in my head I mean
yep and since they all have a coefficient of one, they will branch out in the x,y, and z direction evenly
|dw:1342311024687:dw| In what way...
|dw:1342311163258:dw|
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