Question

sketch the vector field F by drawing the diagram.
F(x, y)= ( x -y) i +x j
What does x-y mean? What would it do to the graph?

Answer 1

dis is a bit harder

Answer 2

F(x, y)= ( x -y) i +x j
ok so lets pic point 1,1 (1-1)i+1j means 0 right 1 up

1,2 (1-2)i+1j =-1 i 1j means 1 left i up
1,3 (1-3)i+1j = -2i 1j means 2 left 1 up

the patern for holding x constant at 1 and increasing y is 1 up and x-y left

Answer 3

One second. I will make a table and then make a graph. Can you check it for me when I'm done?

Answer 4

sure do you know what i done so far? :)

Answer 5

i think so.

Answer 6

good :D

Answer 7

ooh btw

http://kevinmehall.net/p/equationexplorer/vectorfield :) this is a life saver. :)

Answer 8

x y (x-y) xj
1 1 0 1j
1 2 -1 1j
1 3 -2 1j
1 4 -3 1j
1 5 -4 1j
2 1 1 2j
3 1 2 3j
4 1 3 4j
5 1 4 5j

Answer 9

here is my table

Answer 10

http://kevinmehall.net/p/equationexplorer/vectorfield#(x-y)i+xj%7C%5B-10,10,-10,10%5D

Answer 11

Now I have to graph it.

Answer 12

That's really helpful. Can anyone access that?

Answer 13

yes lol
just dont abuse it
know why it works :)

Answer 14

save the link and you can plug in your own vector field function

Answer 15

for the first vector at (1,1) the i vector is zero but the j vector is 1. Is that why it's vertical one unit?

Answer 16

yup :) because 1-1 i is 0 i

Answer 17

thank you again

Answer 18

it goes up 1 unit but zero left or right

Answer 19

De nada :)