Calculating Electric Field Near Two Wires Using Vector Notation

[tscuseria]

I'm not asking for the solutions, I just need to know what methods to use.

Homework Statement

The Attempt at a Solution

I got this equation using this method

but I don't know how to apply it to the questions. I think I need to be using unit vector notation as well?

Also, it asks for the total field, but don't both wires cancel each other out?

 

[cupid.callin]

If By ρ you mean λ ...

What do you think R is in your eqn?

Using that you can easily find Electric field due to 2 wires independently and also using some trigo you can also find the directions (directions are radially outwards from long uniformly charged wires)
Then just sum the individual E using vector additions law.