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Mathematics 36 Online
OpenStudy (anonymous):

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

OpenStudy (anonymous):

OpenStudy (anonymous):

I figured since IV is the only figure where x=1 y=1 and z=1, it must be the right match.

OpenStudy (anonymous):

Looks like it would be II. They would be branching out in all directions because they all have the same coefficient, 1

OpenStudy (anonymous):

it seems like the length of the arrows are changing in II

OpenStudy (anonymous):

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.

OpenStudy (anonymous):

Try this: http://www.slu.edu/classes/maymk/banchoff/VectorField.html you can view and navigate through each vector field

OpenStudy (anonymous):

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|

OpenStudy (anonymous):

to make a connection in my head I mean

OpenStudy (anonymous):

yep and since they all have a coefficient of one, they will branch out in the x,y, and z direction evenly

OpenStudy (anonymous):

|dw:1342311024687:dw| In what way...

OpenStudy (anonymous):

|dw:1342311163258:dw|

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