Question

Match the vector field with its graph. F(x,y) = yi? I tried drawing my own graph and got something other than the answer choices

Answer 1

`bbF(x,y) = ybbi`

Immediately, you can tell that vector `bbF` only ever points in the `bbi` direction, ie along the x-axis

That eliminates everything but the bottom left-hand option

Plus, mathematically, the `x` variable is irrelevant

So, from there, maybe just plug in some values:

• `bbF(x,1) = bbi qquad bbF(x,2) = 2bbi`

• `bbF(x,-1) = - bbi qquad bbF(x,-2) = - 2bbi`

That bottom left-hand option looks even more interesting.

In terms of yer confusion , don't count the number of arrows, compare the length of arrows. Arrow length is increasing linearly