Express vectors with given magnitude and direction in x-y coordinates

[kjland]

I'm sure this is a simple concept but i just can't wrap my brain around it, the question is:

a) Express the following vectors in terms of x-y coordinates:

i)Vector V with direction π/6 and magnitude 4√3.

ii) Vector W with direction 5π/4 and magnitude 4√2.

b) Express the vector v + w in terms of magnitude and direction.Thank you!

 

[Greg]

Here's a start:

a) i) $x=4\sqrt3\cdot\cos\left(\dfrac{\pi}{6}\right)$

Can you find $y$?