Question

Sketch the vector field F⃗ (r⃗ )=2r⃗ in the plane, where r⃗ =⟨x,y⟩. Select all that apply.

A.All the vectors point away from the origin.
B. The vectors increase in length as you move away from the origin.
C. All the vectors point toward the origin.
D. The vectors decrease in length as you move away from the origin.
E. All the vectors point in the same direction.
F. The length of each vector is 2.

Answer 1

Looks like A&B to me.

I mean, have you tried actually drawing a vector x<b>i</b>+y<b>j</b>, with its tail at (x,y)?

Answer 2

ADEF