Question

Show the complete solution to the given problem.

1. Sketch the vector field $F(x,y)=y\vec{i}.$ .

Answer 1

$F(x,y)=yi$

F only points in the i direction (along the x-axis)

since the x variable is irrelevant

$F(x,1)=i \\ F(x,2)=2i\\ F(x,−1)=−i \\ F(x,−2)=−2i \\$

Thus, the vector field will be