How do i solve this physics problem that contains vectors

[baseball2233]

Homework Statement

Each of the displacement vectors A and B have a magnitude of 3.00.
Vector B lies on the y-axis and Vector A has a 30 degree angle from the positive X axis.

a) A+B
magnitude = ?
θ = ?

(b) A-B
magnitude = ?
θ= ? °

(c) B - A
magnitude =?
θ= ? °

(d) A - 2B
magnitude =?
θ= ? °

Homework Equations

The Attempt at a Solution

I really don't have a clue how to figure this out, any help would be great

 

[nicksauce]

The idea is, when adding vectors, to separate them into their components, and then add those components to make the new vector. You know $$\vec{B}=3\hat{y}$$, and $$\vec{A}=3\cos{30}\hat{x} + 3\sin{30}\hat{y}$$, at least you should know that. So then, for example, $$A + B = 3\cos{30}\hat{x} + (3 + 3\sin{30})\hat{y}$$. Make sense? See where you can get using this method.