What is the role of A+B+C in finding vector components?

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White_Noise
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Homework Statement


http://img32.imageshack.us/img32/5364/325n.png

The Attempt at a Solution



I don't know how to approach this simple problem. I don't know what role A+B+C = -1.90i plays. Even if the vector of B is found, I don't understand how to find the components of B.
 
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Clearly you can see that the resultant of A+B+C gives something i right? That means the sum of the j components=0.

Can you split B into i and j components and use what I said before?
 
I got it, thanks. I was confused because I didn't know that i and j corresponded to x and y.