Vectors, and some weried stuff that I dont get

http://img30.imageshack.us/img30/1265/34711100.png [Broken]

What is Vector D?? I only see Vector A and B, not the invisible one? Well you can define a new coridnate system X prime and Y prime and not worry about the degrees. But the other stuff is all greek to me. Book doesnt help :(, so any help is appreciated

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Nabeshin
Since this is homework, in the future it should be posted in the homework help section.

It looks to me like D is the vector constructed as per the rule given on the left hand side, namely 4.7 (A+B).

Keep in mind that while it may seem like a good idea to use a tilted coordinate axis defined by A and B, the question asks for the components of the resultant vector D in terms of x and y, the original coordinate axes. So you will have to deal with the angle eventually.

Integral
Staff Emeritus