Draw the spin field F = i + j along with its horizontal and vertical components

Question

Draw the spin field F = i + j along with its horizontal and vertical components at a representative assortment of points on the circle x+y2-4 First find the horizontal and vertical components of the vectors at the representative points (2,0), (V2 A2)?(02). (-4%-(2) . (-2,0). (-?.--(2)?(0,-2), and (V2 .--(2) , respectively, where v1 corresponds to the first listed point, v2 corresponds to the second listed point, and so on. 2- (Type ordered pairs. Type an exact answer for each coordinate, using radicals as needed.)

Explanation / Answer

Just plug in each point

At (2,0) :
F = <0 , 2/2>
F = <0,1> ---> ANS

(sqrt2,sqrt2) :
we find that to be
<-sqrt(2)/2 , sqrt(2)/2> ---> ANS

(0,2) :
<-1,0> --> ANS

(-sqrt2 , sqrt2) :
<-sqrt2/2 , -sqrt2/2> --> ANS

(-2,0) :
<0,-2> --> ANS

(-sqrt2 , -sqrt2) :
<Sqrt2/2 , -sqrt2/2> ---> ANS

(0,-2) :
<1,0> --> ANS

(sqrt2 , -sqrt2) :
<Sqrt2/2 , sqrt2/2> --> ANS

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