Hi! So I asked about this question earlier and I've been trying to solve it with the directions I was given by someone before, but, I'm still confused and keep getting weird numbers. Can someone help me with this?

Question

Directions: Find the angle, θ, between the vectors. If needed, round your answer to the nearest tenth.

u = <3, 2>
v = <4, 0>

Answer 1

recall the dot product

u•v = |u||v|cosθ

3*4 + 2*0 = √13 * 4 *cosθ
cosθ = 12 / 4√13
θ = 33.7°

Or, you could notice that v is just along the x-axis, so

tanθ = 2/3
θ = 33.7