Question

How do i find the x and y components of the vectors A⃗ and B⃗??? this is the other info:
Vector A⃗ , in the first quadrant, has a magnitude |A⃗ |= 2.0 and is at an angle α = 40 ∘ with respect to the positive x-axis. Vector B⃗ , in the fourth quadrant, has a magnitude |B⃗ |= 1.5 and is at an angle β = 20.0 ∘ with respect to the positive x-axis.

Answer 1

so the best way to do this I feel for an explanation is to draw a picture

Answer 2

we are starting with A because it is easier

Answer 3

so if you look at that line you can see the magnitude and you can see how far to reaches out and this you can turn into a right triangle

Answer 4

so after that you can use trig values of sin and cos to find the components

Answer 5

you can do the same thing with B, but remember it is in quadrant 4 so your values are different since By is negative